f(x)=x²+4x-7 determine the vertex

Answers

Answer 1

Answer:

The vertex of this parabola is [tex](-2,-11)[/tex]

Step-by-step explanation:

One way of finding the x-coordinate of the vertex of a parabola is by using the equation [tex]-\frac{b}{2a}[/tex]

From the function [tex]f(x)=x^2+4x-7[/tex], we can see that

[tex]a=1\\b=4\\c=-7[/tex]

This means that

[tex]-\frac{b}{2a}=-\frac{4}{2(1)} =-2[/tex]

So, the x-value of the vertex is -2. Now, we can plug this x-value into the function to find the y-coordinate of the point.

[tex]f(x)=x^2+4x-7\\\\f(-2)=(-2)^2+4(-2)-7\\\\f(-2)= 4-8-7\\\\f(-2)=-11[/tex]

Thus, the vertex of this parabola is [tex](-2,-11)[/tex]


Related Questions

3.
Quadrilateral PQRS is a parallelogram. If m5 = 64, then m1 + m2 + m3 + m4 = ______


A.64

B.128

C.192
D. Impossible to tell

Answers

Answer:

(B). 128°

Step-by-step explanation:

m∠5 = m∠2 + m∠4 = 64°

Because ∠2 ≅ ∠3 and ∠4 ≅ ∠1 , then m∠1 + m∠2 + m∠3 + m∠4 = 2 × 64 = 128°

The correct answer is C

Determine which regions contain cube roots of 8i. Check all that apply.
on real axis
on imaginary axis
quadrant 1
quadrant 2
quadrant 3
quadrant 4

Answers

Answer:

this is the right answer

The cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= ∛8i

The cube roots of 8i are

The cube roots of 0+8i are:

1. √3 + 1i

2. -√3+1i

3. 0-2i

The complex number can be represented as:

= a + ib

a, and b are real numbers.

i is the iota.

Thus, the cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ2

You can buy 8 apples at the Quick Market for $1.45. You can buy 6 of the same apples at Stop and Save for $1.22. Which place is the better buy?

Answers

At about 18 cents each, the apples at Quick Market
are a better buy.
The apples at Stop and Save are around 20 cents each.

Explanation:
This becomes easy to solve if you figure out the cost per apple
c
a
Quick Market:
c
a
=
$
1.46
8
=
c
1
1.45
÷
8

0.18

.........................................
Stop and Save
c
a
=
$
1.22
6
=
c
1
1.22
÷
6

0.2
_
(Stop doing the math the instant you can tell which number is larger.)
.............................
Answer:
Quick Market is the better buy.
...........................
To solve this in your head:
1) You can see that "6 apples for (about) $1.20" is about 20 cents each.
2) For the other apples to be 20 cents each, the price for 8 would have to be about $1.60
3) Because the cost of 8 apples is less than $1.60, then the Quick Market apples are cheaper than the other ones.

 The Quick Market will be the place for better buy than Stop and Save.

Comparison of rates for better buy:    Find the rate of one unit.    Compare the rates to decide the better buy.

Given in the question,

   Total amount paid for 8 apples at The Quick Market = $1.45     Total amount paid for 6 apples at Stop and Save = $1.22

Rate of apples at The Quick Market = [tex]\frac{\text{Total amount paid}}{\text{Number of apples}}[/tex]

                                                            = [tex]\frac{1.45}{8}[/tex]

                                                            = $0.18125

                                                            ≈ $0.18 per apple

Rate of apples at Stop and Save = [tex]\frac{1.22}{6}[/tex]

                                                      = $0.20333

                                                      ≈ $0.20 per apple

      Since, $0.18 is less than $0.22, The Quick Market will be the place for better buy than Stop and Save.

Learn more about the comparison of rates here,

https://brainly.com/question/1481522?referrer=searchResults

What angle of rotation maps X to X”?

Answers

i believe 90 but i can be wrong

Let f(x)=1/2x-3. Suppose you subtract 6 from the input of f to create a new function​ g, and then multiply the input of function g by 4 to create a function h. What equation represents​ h?

The equation for h is h(x)=?

PLZZZZ!! I NEED HELP ASAP!!!!

Answers

Answer: h(x)=2x-6

hope this helped

The  value of h(x)= 2x- 36.

What is function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x)=1/2x-3

Now, subtract 6 from the input of f to create a new function​ g

g(x)= 1/2x-3 -6

g(x)= 1/2x -9

and, multiply the input of function g by 4

h(x)= 4( 1/2x -9)

h(x) = 2x- 36

Hence, the value of h(x)= 2x- 36.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ5

A song by me
Title: Bestie
Ahh mm

Bestie Bestie
Girl I don't wanna be your Bestie
I want you more than a Bestie
What is the meaning of a Bestie
Oo gee my gee
Material of a wifey
Temptations all around me you tryna get me in
My bestie
Oh what a bum bum
Imma show you where I come from
Where my Mama dey ah ah
Bestie
Me no need a man I need a Bestie
Nothing you'll do will impress me
You can't come Inna my life
Then stress me
Oh bad boy don't test me
I'm 16 don't touch don't touch me
All I wanna do is show body
As a star girl I gat money
Call my my line fighting for love boy
I gat less time
Oh what a bum bum
Show you where I come from
Where my Mama dey
Bestie♥

Answers

Answer:

ohhhhhh grlll u aare so good when it comes to writing i should be a song writer

Answer:

That's the amazing song!

Help me thank you!!:)

Answers

Answer:

I'd love to help!

Step-by-step explanation:

There is a problem. I can not see the image. When I try to click on it it says that there is an image error. Is your internet bad?

Find the exact value of x

Answers

Answer:

well, the value of x is unknown

Anyone know how to do this????

Answers

Answer:

nope

Step-by-step explanation:

srry im dumb

HELPPPPPP ASAPPPPP PLEASEEEEE

Answers

A.

Step-by-step explanation:

0.8-3.2x<-2-2.8x please help me answer this!!!!! it is timed

Answers

Answer:

x > 7

Step-by-step explanation:

0.8 - 3.2x < -2 - 2.8x

Add 2.8x to both sides.

0.8 - 0.4x < -2

Subtract 0.8 from both sides.

-0.4x < -2.8

Divide both sides by -0.4. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes direction.

x > 7

1+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=2


lol

Answers

Answer:

1 + 1 equals 2.

Step-by-step explanation:

When you take one of something, and you add it to another 1 of something, then you get 2 of something.

Which statement correctly describes the end behavior of the function f ( x ) = − x 2 + 3 x + 12

Answers

X—>-infinity f(x)—>-infinity
X—>infinity f(x)—> 12

Is 46 greater or less than -79

Answers

Answer:

46 is greater than -79

Answer:

It is greater than

Step-by-step explanation:

-79 is below 0

4:(x−2)=2:5
PLS HELP I WILL GIVE BRAINLIEST

Answers

12=x is the correct answer

Answer:

x=12

Step-by-step explanation:

4/x-2=2/5

2x-4=20

2x=24

x=12

Also If this is Jaish from geo class, HIIII

Select the theorem that proves the triangles congruent. If the triangle cannot be proven congruent, select "not congruent."

Please help! I’ll give brainliest!!

Answers

Answer:

c

Step-by-step explanation:

here they give you an angle C≅angle G,  then a side DG≅ side CA and then an angle A≅angle D  so is the

Angle-Side-Angle theorem or ASA

65472÷2=a
487655-a=b

Answers

Answer:

a = 32736

b = 54919

Step-by-step explanation:

Please help nwidnlqknwsam

Answers

Answer:

Part A: Missing Numbers are 64 and 7 going downwards

Part B: Make a TABLE representing how much money they made for 5, 6, 8 hours which they made $64

Part C: ??

Step-by-step explanation:

please help ................

Answers

the answer is h=5
if you plug in 5 as h, you get: 15/10+15/5=4 1/2
1 1/2+3=4 1/2

Answer:

h=5

Step-by-step explanation:

2(3h) +3h/10=9/2

6h+3h=45

9h=45

h=45/9

h=5

Which mathematical property is demonstrated?

7 + 9 + 3 = 7 + 3 + 9


A. commutative property of addition

B. associative property of addition

C. commutative property of multiplication

D. associative property of multiplication

Answers

Answer:

I believe the answer would be A

Step-by-step explanation:

Hope this helps!

Answer:

B

Step-by-step explanation:

B

Simplify 4(2x-3), Simplify 4(2x-3)

Answers

Answer:

8x-12

Step-by-step explanation:

Distribute the 4 so 4 time 2x is 8x and 4 times 3 is 12 but the 3 is negative so negative 12

Answer:

4(2x-3) = 8x - 12

Step-by-step explanation:

4 times 2x equals 8x

4 times -3 is 12 because a negative number + a postitve = a negative

12 is what present of 96?

Answers

Answer:

12.5 percent

Step-by-step explanation:

Well if you do

12/96

Simplify that

to get

1/8

1/8=12.5

can anyone explain a Coefficient

Answers

Answer:

Step-by-step explanation:

If you have a variable like 4x the coefficient would be the 4 because it is being multiplied by the x or the variable. it is usually a number, but it could also be an expression.

I hope this helps

John want to move from point A to point B. To avoid the pond he must walk 36 m south and 49 m east. However he wants to go through the pond in order to save time. To the nearest meter calculate how many meters would be saved if John rows a boat across the pond?

Answers

Answer:

60.80

Step-by-step explanation:

write seven tenths in standard form

Answers

The decimal 0.7 could be pronounced as SEVEN TENTHS or as ZERO POINT SEVEN.

Answer:

The answer is 0.7

Step-by-step explanation

The answer is 0.7 because 7/10 is the same thing as 0.7

can someone type this for me so I can copy and paste​

Answers

Answer:

To solve this exercise i'll graph a plot of the room:

The diagnol of the floor of the room divides it into two right triangles, were the length of the walls represents the base and height and the dignol is the hypothenuse.

Usinf Phyagoras Theorem, that states that the square of the hypothenuse is equal to the right triangle. we can calculate the heightof thr triangle as:

Step-by-step explanation:

5) Joe collected baseball cards for years. First year, he collected 305. Year The collected 178. Year 3, he collected 298. At the end of year 4, he had collected 1,000 baseball cards. ABOUT how many cards did he collect in year 4?*​

Answers

Answer:

The answer would be about 220 cards on the fourth year.

Step-by-step explanation:

We know the first year he collect 305,178,298.We add those and then subtarct from 1000.Since they are asking about you need to round each one.305->300  178->180  298->300 Now that you got your answer from those (780) subtract that from 1000.You should get 220.

There are 42 people walking in 2 rows. How many people are walking in 1 row?

Answers

Answer:

21

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

21 people

Step-by-step explanation:

Forty-two people in two rows means that forty-two is divided into 2 groups.

42/2=21

HTH :)

Pls can someone help me factorise: 4u²‐u-3

Answers

Answer:

(u - 1)(4u + 3)

Step-by-step explanation:

Given

4u² - u - 3

Consider the factors of the product of the coefficient of the u² term and the constant term which sum to give the coefficient of the u- term.

product = 4 × - 3 = - 12 and sum = - 1

The factors are -  4 and + 3

Use these factors to split the u- term

4u² - 4u + 3u - 3 ( factor the first/second and third/fourth terms )

= 4u(u - 1) + 3(u - 1) ← factor out (u - 1) from each term

= (u - 1)(4u + 3)

Thus

4u² - u - 3 = (u - 1)(4u + 3) ← in factored form

please help and you will get 40 points​

Answers

Answer:

loolooloolool

Step-by-step explanation:

Answer:

3x = 40 * 3

40= x

120 juice

40 C

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