Answers
Answer:
The equation is;
y = 2x^2 -8x + 12
Step-by-step explanation:
The vertex form can be written as;
a(x-h)^2 + k
(h,k) represents the coordinates of the vertex
In this case, we have this as (2,4)
The value of a is positive as the parabola opens up and it is the axis of symmetry
It is the x value that divides the graph into 2
Thus, we have x as = 2
so the equation of the graph will be;
2(x-2)^2 + 4
2(x^2 - 4x + 4) + 4
= 2x^2 -8x + 8 + 4
= 2x^2 -8x + 12
Related Questions
9 Jean Junction is selling jeans at 25% off the regular price. Jeans regularly sell for $35. What is the cost of the jeans on sale?
Answers
Answer:
$26.25
Step-by-step explanation:
we can convert 25% directly to a decimal:
25% = 0.25
Then we find
25% of 35 = 0.25 x 35 = 8.75
35 - 8.75 = 26.25
So the jeans on sale cost $26.25
the sale price of the jeans will be $26.25
Write the percent as a decimal.
47.63%.
Answers
Answer:
.4763
Step-by-step explanation:
A percent can be made into a decimal by moving the decimal two places to the left.
The tape diagram represents an equation.
25
10
w
w
Write an equation to represent the tape diagram.
Choose 1 answer:
A
25 = w - 10
B
25 = 10 + w
Answers
Answer:
25=10+w
Because the value of w that makes the equation true is
w=25_10
w=15
Answer:
Step-by-step explanation:
consider the function f(x)=6sin(x-pi/8)+8. What transformation results in g(x)=6sin(x-7pi/16)+1?
Answers
Answer: we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
Step-by-step explanation:
First, let's define the transformations:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Here we have:
f(x) = 6*sin(x - pi/8) + 8
and the transformed function:
g(x) = 6*sin(x - (7/16)*pi) + 1
We can assume that the transformations are a vertical shift of A units, and an horizontal shift of B units, then we can write:
g(x) = f(x + B) + A
g(x) = 6*sin(x + B - pi/8) + (8 + A) = 6*sin(x - (7/16)*pi) + 1
Then we must have that:
(x + B - pi/8) = x - (7/16)*pi
B - pi/8 = -(7/16)*pi
B = -(7/16)*pi + pi/8 = -(7/16)*pi +2*pi/16 = (-7 + 2)*pi/16 = -5*pi/16
And we also must have that:
8 + A = 1
A = 1 - 8 = -7
Then the transformation is:
g(x) = f(x - 5*pi/16) - 7
This means that we have a vertical shift of 7 units down, and a horizontal shift of 5*pi/16 units to the right.
Carlos planted 4 flowers in 9 minutes. At this rate, how many flowers can Carlos plant in 36 minutes?
Answers
the correct answer is 16
Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?
Answers
15 POINTS PLEASE HELP!!!
Answers
It is the third one because if (gof) is gjudjgui8dfghdgdihhhdghgd
What is the value of t in this equation?
Answers
Answer:
t = 60
Step-by-step explanation:
Exponents by the power of another exponent multiply.
-12 · -5 = 60
So in this instance, the value of t would be 60.
A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ
Answers
Answer:
It leaks half a gallon each hour.
Step-by-step explanation:
Answer:
Call the plumber
Step-by-step explanation:
If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.
Please help for:
5 − 8 −2n = −75
Answers
Answer:n
= − 5 , 5
Step-by-step explanation:
what is the measure of the angle in question?
Answers
Answer:
? = 114
Step-by-step explanation:
Angle Formed by Two Chords = 1/2 ( sum of Intercepted Arcs)
? = 1/2 ( 53+ 175)
? = 1/2 ( 228)
? = 114
Evaluate b/a−1.2 when a=4 and b=12
Answers
Answer:
3-1.2=1.8
Step-by-step explanation:
12/4=3-1.2=1.8
What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5? m 4 m ][xz – xı) + x, -4 -2 2 4
Answers
Answer:
2
Step-by-step explanation:
im sure its 2 i hope this helps
Cathy has $100 saved to spend on clothes. She wants to purchase a winter jacket for $40 and some sweaters that cost $20 each. How many sweaters can Cathy buy?
Answers
Is the relation is a function, explain. {(8, 5), (7, 4), (6, 4), (5, 5)}
Answers
Answer:
Yes, it is a function.
Step-by-step explanation:
As long as there are no more than one x-values for each coordinate, then it is considered a function.
4(x)squared+3x+3=6(x)squared-4x=6 find x
Answers
Answer:
I think if yo seperate 4 from x then seperate 3 from x add those together and you get 18.
Step-by-step explanation:
It sounds right.
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Answers
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
Juan has $1.30 in dimes and nickels. He has a total of 15 coins. How many dimes does Juan have?
Answers
11 dimes and 4 buckles. You're welcome :)
Fill in the blanks!!
(Will be given brainliest for the correct answers)
Answers
Answer:↓↓↓
Step-by-step explanation:
We are given that side AB is congruent to BD. We are also given that side AC is congruent to CD.
We know that side BC and side CB are congruent because of the Reflexive property.
Therefore, ΔABC and ΔDBC are congruent because of SSS Postulate.
Hope this helped!
Find the length of side a.
A. 2
B. 3
C. 34
D. 9
Answers
You need to use the Pythagorean theorem which is a squared + b squared = c squared
So a^2+4^2=5^2
Simplified that would be a^2 + 16 = 25
Subtract 16 from both sides
A^2=9
And the square root of nine is 3
pls help!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
An airplane is flying at a height of 3 kilometers on a path that will take it directly over the airport. At a certain instant its slant distance from the airport is 18 kilometers. How far must the plane travel to be directly above the airport?
A 333km
B 315km
C 15km
D 21km
Answers
Answer:
its b......................
The airplane must travel [tex]\sqrt{315}[/tex] km to be directly above the airport.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
We have to apply the Pythagoras theorem to solve the problem.
By Pythagoras theorem,
Base² + Altitude² = Hypotenuse²
Given,
Altitude = 3 km
Hypotenuse is the slant distance from the airport = 18 km
Let x be the distance plane must travel to be directly above the airport.
x² + 3² = 18²
x² = 315
x = [tex]\sqrt{315}[/tex]
Hence the distance plane must travel is [tex]\sqrt{315}[/tex] km.
To learn mote about Pythagoras Theorem, click :
https://brainly.com/question/21926466
#SPJ2
Solve m+4>9
Please help
Answers
Answer:
m>5
Step-by-step explanation:
Let's solve your inequality step-by-step.
m+4>9
Step 1: Subtract 4 from both sides.
m+4−4>9−4
m>5
Answer:
m > 5
Step-by-step explanation:
m + 4 > 9
m + 4 - 4 > 9 - 4
m > 5
I need help please... 30 points + brainliest if u answer all 5 I'LL DO ANYTHING :'(
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
Answers
f(x) is a function that takes some number x and outputs another one.
To get the output value, replace every instance of x in f(x) with the given number.
1. If f(x) = x ² - 4x, then
f (-3) = (-3)² - 4(-3) = 9 + 12 = 21
2. f(x) = x ² - x, so
f (-10) = (-10)² - (-10) = 100 + 10 = 110
3. f(x) = 3x + 1, so
f (-3) = 3(-3) + 1 = -9 + 1 = -8
4. f(x) = 4x - 2, so
f (8) = 4(8) - 2 = 32 - 2 = 30
5. f(x) = x ² + 2, so
f (0) = 0² + 2 = 0 + 2 = 2
Can someone answer these two problems??
Answers
9514 1404 393
Answer:
B
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b
where the slope is m = -3 and the y-intercept is b = +2.
So, the graph will have a slope of ...
"rise"/"run" = -3 = -3/1
and will cross the y-axis at y=2.
Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.
help me please and thank you
Answers
Answer:
A 7.85 cm2 should be right
Here is a rectangle ABCD.
20 cm
30 cm
The length of the rectangle is increased by 20%.
The width of the rectangle is increased by 10%.
Find the percentage increase in the area of the rectangle.
12
Answers
Answer:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
Answer:
nnnnnnnfjnjzfv
Step-by-step explanation:
Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4
Answers
Answer:
The answer is D on edg 2020
Step-by-step explanation:
brainliest plz
Answer:
Its D
Step-by-step explanation:
∠2 ≅ ∠4
10 is 10 times much as
Answers
Answer:
10 is 10 times as much as 1 because if you were to multiply 1 x 10, you would get 10.
At the beginning of the school year, Bradley bought a new box of 120 crayons. At the end
of the year, only 10% of the crayons are still sharp. How many of Bradley's crayons are
still sharp?
Answers
Answer:
12
Step-by-step explanation:
120 divided by 100 = 12
12 multiplied by 10% =12
120-12 =108
108 of Beasley’s crayon are still sharp