1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BlackZzzverrR [31]
3 years ago
7

What is the y value of the vertex 4x^2+8x-8

Mathematics
2 answers:
gulaghasi [49]3 years ago
6 0
To start with, you need to find the vertex, you need to find the axis of symmetry: x=(-b/2a).  b=8.  a=4.  x=(-8/2(4)).  x=-1.  Plugin -1 into the original equation to find y.  y=-12.
Oksana_A [137]3 years ago
5 0

Answer:

The y-value of the vertex is -12

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=4x^{2}+8x-8 -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+8=4x^{2}+8x

Factor the leading coefficient

f(x)+8=4(x^{2}+2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+8+4=4(x^{2}+2x+1)

f(x)+12=4(x^{2}+2x+1)

Rewrite as perfect squares

f(x)+12=4(x+1)^{2}

f(x)=4(x+1)^{2}-12

The vertex is the point (-1,-12)

The y-value of the vertex is -12

You might be interested in
Vertical angles must: Check all that apply
Paha777 [63]
I would say C. and A. Hope this helps.
5 0
3 years ago
Read 2 more answers
Help me with my homework​
Kay [80]

Answer:

a.\frac{x+10}{5} = 9.5

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: \frac{x+10}{5}. We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

9.5 = \frac{x+10}{5}

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50

4 0
3 years ago
An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?
Ainat [17]

Answer:

C. One-fourth mile over thirty-six seconds = 25 miles per hour.

We have been given that an elephant can run one over four of a mile in 36 seconds.

To find elephant's rate in miles per hour, we will convert our given time in hours as shown below:

Therefore, option C is the correct choice.

Step-by-step explanation:

  • 144
7 0
3 years ago
Read 2 more answers
If a construction work digs down to 30 feet below the surface of the ground. What is her elevation?
tresset_1 [31]

Answer:

-30 feet

Step-by-step explanation:

You are going down so it would be negative, if you were going up it would be posotive.

4 0
3 years ago
What is the appoximate distance between points d and e round your answer to the nearest hundreth
Oksana_A [137]
The distance between the 2 points is approximately 8.25
5 0
3 years ago
Read 2 more answers
Other questions:
  • Add 16 3/8, 4 4/5 12 3/4 and 23 5/6
    14·1 answer
  • Solve 2/x+12/x=7<br><br> A. 2<br> B.-2<br> C. 28<br> D.-28
    12·1 answer
  • Evaluate without using a calculator <br><br> 899^2 - 2 * 899 * 898 + 898^2
    10·1 answer
  • Find the area of the shaded region in the image below:
    10·1 answer
  • The solution set for x^2 -x -56=0 is<br> A.{7,8}<br> b. {-7}<br> c. {8}<br> d. {-7,8}<br> e. {7.-8}
    9·1 answer
  • PLEASE HELP!! WILL GIVE BRAIN AND 5 STARS
    15·2 answers
  • Is the square root of 9/31 rational
    14·2 answers
  • What is 2x+7 plus 5 simplified
    5·2 answers
  • Triangle ABC is dilated using D as the center of dilation with a scale factor of 1/3
    7·1 answer
  • Graph a line with a slope of -3,that contains the point (4, -2)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!