The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²
We need to find how the parent function transformed to produce the graph of y = 3(x+1)².
The parent graph is shifted 1 unit towards the left by the rule of transformation.
[tex]f(x) = f(x+1)[/tex]
By applying this rule then,
[tex]y(x) = f(x+1)^2[/tex]
Now, the parent function stretched vertically 3 times the previous graph by the rule
[tex]f(x) = 3f(x)[/tex]
Apply this rule then, we get
[tex]y(x) = 3(x+1)^2[/tex]
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Can someone please answer this, ill give you brainliest Would be very appreciated.
Explanation:
Expression: d = 16t² where d is distance. t is time.
1)
Here t = 2
d = 16(2)²
d = 64 feet
2)
h = 906-t²
h = 906 - 16(2)²
h = 842 feet
3)
expression of height: y = 906 - 16t²
Answer:
64842y = 906 - 16t²Step-by-step explanation:
Q1
Distance travelled in 2 second 16(2)²64 feetQ2
Height of object after 2 seconds906 - 64842 feetQ3
height of object t seconds after it is droppedy = 906 - 16t²The midpoint of AB is M(6,3). If the coordinates of A are (7,4) what are the coordinates of B?
Answer:
(6.5,3.5)
Step-by-step explanation:
(6+7)÷2=6.5
(3+4)÷2=3.5
is 0, 3, 8, 15, 24, 35 an arithmetic sequence
Answer:
Yes, the sequence is an arithmetic sequence
Step-by-step explanation:
Notice that each consecutive number is being added by the next odd number up:
0+3=3
3+5=8
8+7=15
15+9=24
24+11=35
We can represent this as the arithmetic sequence [tex]a_n=n(n+2)[/tex]
You have 10 trees and 5 rows you can only use 4 trees a row
Answer:
You would plant 2 trees in each row instead of 4.
10 divided by 5 = 2
Can someone come up with something easy for me to memorize mode and mean and range and median pls . Im having finals and I need help
Answer:
Mean-average
Median-middle
Mode-Most Often Digit Entered (Most Common Digit)
Range-Least To Greatest
Step-by-step explanation:
What are irrational and rational numbers?
An irrational number is a type of real number which cannot be represented as a simple fraction.
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
Answer:
here is the definition of irrational and rational numbers
use the factored form to solve the related question, 2x^2+17x+30=0. what are the solutions
Answer: x = -6 and x = -5/2
Step-by-step explanation:
[tex]$$Solve for $x$ over the real numbers: \\ $2 x^{2}+17 x+30=0$\\\\The left hand side factors into a product with two terms:$$(x+6)(2 x+5)=0$$Split into two equations:$$x+6=0 \text { and } 2 x+5=0$$Subtract 6 from both sides:$$x=-6 \text { and } 2 x+5=0$$Subtract 5 from both sides:$$x=-6 \text { and } 2 x=-5$$Divide both sides by 2 :Answer:$$x=-6 \text { and } x=-\frac{5}{2}$$[/tex]
Choose the definition for the function.
-x+ 2 x<1
a.y =
{2
1 x + 1 x 21
x + 1 x
b. y = -x+ 2 x < 1 d. y =
{
{-x+ 2 x 21
x>
x + 1 x < 1
=&isíc.y=*+2 x>1
{
Enter
Answer:
B
Step-by-step explanation:
I hope this helps. God bless
Find the radian measure of the central angle of a circle of radius 12 that intercepts an arc length 32.5. Round to the nearest hundredth.
Help me please for 50 points
[tex]\left(\sqrt[3]{- \dfrac 18} \right)^3+3\dfrac3 4\\\\\\=\left[\left(-\dfrac 18 \right)^{\tfrac 13}\right]^3+ \dfrac{12+3}4\\\\\\=\left(-\dfrac 18 \right)^{\tfrac 33\right)+ \dfrac{15}4\\\\\\=\dfrac{15}{4}- \dfrac 18\\\\\\\\=\dfrac{30-1}{8}\\\\\\=\dfrac{29}8\\\\\\=3\dfrac 58 \\\\\\= 3.625[/tex]
Answer:
29/8
Step-by-step explanation:
Can someone explain how to convert a quadratic function in standard form to vertex form using the "complete the square" method? Oh, please give steps so I can write them down
The required steps are explained below to convert the quadratic function into a perfect square.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
Let the quadratic function be y = ax² + bx + c.
The first step is to take common the coefficient of x². We have
[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x \right) + c[/tex]
Add and subtract the half of the square the coefficient of x,
[tex]\rm y = a \left (x^2 + \dfrac{b}{a}x + \dfrac{b^2}{4a^2} \right) - a \times \dfrac{b^2}{4a^2} + c[/tex]
Then we have
[tex]\rm y = a \left (x + \dfrac{b}{a} \right)^2 - \dfrac{b^2}{4a} + c[/tex]
These are the required step to get the perfect square of the quadratic function.
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One month Jessica rented 4 movies and 8 video games for a total of $61. The next month she rented 2 movies and 3 video games for a total of $25. Find the rental cost for each movie and each video game.
Answer:
A movie costs $4.25 and a video game $5.5.
Step-by-step explanation:
Step 1: Form the equations.
Let m be the price of a movie and v the price of the video game.
First equation: One month Jessica rented 4 movies and 8 video games for a total of $61.
[tex]4m + 8v = 61[/tex]
Second equation: The next month she rented 2 movies and 3 video games for a total of $25.
[tex]2m + 3v = 25[/tex]
Step 2: Solve the system of equations.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 2m + 3v = 25[/tex]
I'm going to solve them by elimination. I'll multiply the second equation with two so I get 4m.
[tex]\text{(1.) } 4m + 8v = 61\\\text{(2.) } 4m + 6v = 50[/tex]
Now I'm going to subtract the second equation from the first.
[tex](4m + 8v) - (4m + 6v) = 61 - 50[/tex]
And solve.
[tex]8v- 6v = 61 - 50\\2v = 11\\v = \frac{11}{2}\\v = \$5.5[/tex]
Now let's insert v back in second equation to get m (nicer numbers, you can insert in first too if you want).
[tex]4m + 8v = 61\\4m + 8(5.5) = 61\\4m + 44 = 61\\4m = 61 - 44\\4m = 17\\m = \frac{17}{4}\\m = \$4.25[/tex]
Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% simple interest every year, How much will she have after 4 years?
Answer:
probably bout like 4 dollars
Step-by-step explanation:
40% of the cars in a parking lot were american made cars. if there are 60
american made cars in the parking lot, how many cars are in the lot?
there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]
Which step is the most efficient way to find the solution of p+5>−13?
Answer:
Subtract 5 from both sides
Step-by-step explanation:
Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options
will give brainliest
Answer:
Here is your answer
Step-by-step explanation:
Bearing from point A to B, can be calculated as,
beta = atan * 2(X, Y)
where, X and Y are two quantities and can be calculated as:
X=cos theta b^ * s AL
Y=cos theta a^ * sin theta b-sin theta a^ * cos theta b^ * cos Delta l put the values and calculate
PLEASE HELP ITS A MATH PROBLEM Consider the following two functions:Which statement is NOT true?
Answer:
D) g(1) > f(1)Step-by-step explanation:
Compare the relevant values of functions. They are given in the table for function g(x) and on the graph for function f(x).
A) f(3) = 2, g(3) = 7 ⇒ f(3) < g(3), TRUEB) g(0) = 4, f(0) = 8 ⇒ g(0) < f(0), TRUEC) f(2) = 4, g(2) = 4 ⇒ f(2) = g(2), TRUED) g(1) = 3, f(1) = 6 ⇒ g(1) > f(1), Not TRUEAnswer:
g(1) > f(1)
Step-by-step explanation:
Based on the graph :
f(1) = 7 and g(1) = 3The statement is :
g(1) > f(1)3 > 7This is not truePls answer
THe question below in the image
Answer:
Question 1: D.Question 2: C.Step-by-step explanation:
Question 1:
Franco made 36 invitations and gave out 14. How many invitations does he have left?
Simple. Solve for the bottom:
Bottom (Total): 36Right (Blue grid): 14Left (Red grid): ?That is the answer D.
Question 2:
Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?
Complicated (a bit). Solve:
Bottom (Total): ?Left (Red grid): 14Right (Blue grid): 36That is the answer C.
What is the name of the following solid figure?
square pyramid
square prism
rectangular prism
cube
50 POINTS! Use the Parabola tool to graph the quadratic function.
f(x)=(x+4)^2 −6
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
General equation
y=a(x-h)²+kBy observing y=(x+4)²-6
Vertex is at (-4,-6)a is 1So
The parabola graph is attached
Answer:
See below ~
Step-by-step explanation:
Given :
f(x) = (x+4)² − 6
f(x) = a(x + h)² + k
The vertex of the graph is (-4, -6)Compressibility factor (a) is equal to 1Another point on the parabola :
Take x = 1f(1) = (1 + 4)² - 6f(1) = 25 - 6f(1) = 19The second point is (1, 19)Graph :
Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?
The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
How to find the Area of a Sphere?We are given the volume of the sphere as 144π cubic units.
From the attached file, we see that the radius of the sphere is 6.
Formula for Volume of a Sphere is;
V = ⁴/₃πr³
Thus;
V = ⁴/₃π * 6³
V = 288π cubic units
Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
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** PLS HELP BRAINLIEST!! ** THIS WILL AFFECT MY GRADE
Here are three lines that intersect at
one point.
Write a true equation based on this
diagram.
Answer:
64+18+z=180
Step-by-step explanation:
z=98, input 98 and it is true
help me pls worth 50 points!!!!
Answer:
40 : 1
Step-by-step explanation:
40 miles / 1 hour = 40 : 1
A team of 3 QA testers and l QA team lead is working on a project. The team finishes
the job and is paid. The testers receive $1200 each, and the team lead receives S600
more than the average salary of the entire team. How many dollars does the team lead
get?
The team-lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the team lead salary is x and the team-lead receives, $600 more than the average salary of the entire team then,
The team lead salary:
[tex]\rm x = \dfrac{1200+1200+1200+x}{4} + 600[/tex]
4x = 3600+ x+ 2400
3x = 6000
x = $2000
Thus, the team lead gets $2000 if the team of 3 QA testers and l QA team lead is working on a project. The team finishes the job and is paid.
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100 POINTS PLEASE HELP (pictures are down below)
Step-by-step explanation:
photos explain. in the second photo, A didnt start at 0 so it looked not accurate
Write 6.51 x 10-8 in standard form
Please help :)
There are seven "0"s between the decimal point and the digit "6".
======================================================
Explanation:
The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.
The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651
In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651
Then we move it another seven spots to the left to arrive at 0.0000000651
This is why there are seven "0"s between the decimal point and the digit "6".
The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2 kg. Given that information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A.
Compare the masses of the two samples to decide who is correct. State which person is correct and explain your answer using mathematics.
Narissa is right sample B is 15,000 times that of sample A
What is mass?The quantity of matter that any object contains is called the mass of the body.
It is given that:-
The mass of lab sample A is 2.4 x 10^-2 kgThe mass of lab sample B is 3.6 x 10^2 kgSo the mass will be given as:-
[tex]\dfrac{B}{A}=\dfrac{3.6\times 10^2}{2.4\times 10^{-2}}[/tex]
[tex]\dfrac{B}{A}=15000[/tex]
B = 15000 B
Therefore Narissa is right sample B is 15,000 times that of sample A
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Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked
Answer:
B
Step-by-step explanation:
The data shows a positive correlation so the gradient must be positive so B.
The following cone has a height of 4 inches and a volume of 127 cubic inches. What is the radius of the cone ?
Answer:
5.51
Step-by-step explanation:
i used a calculator.
Malia walked her sister, flash, a total of 8 4/5 blocks every day. if malia and flash walked the same amount daily, how many blocks did they walk in 4 days? write your answer as a fraction or as a whole or mixed number.
Answer:
multiply the distance they walked by 4 since they walked for 4 days
Step-by-step explanation: