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
Neko [114]
3 years ago
8

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

Mathematics
2 answers:
Levart [38]3 years ago
6 0

The x-value is -b/(2a) = -8/(2·4) = -1.

The corresponding y-value is ...

... 4(-1)² +8(-1) -8 = 4 -8 -8 = -12

The y-value of the vertex is -12.

djverab [1.8K]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
Use the table to find the relationship between the two quantities.
olchik [2.2K]

Answer:

the answer is 3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Are the equations 3x - -9 and 4x - -12 equivalent? Explain.<br> Please Help!!
konstantin123 [22]
No because  when  you do 3*--9 = 27 and 4*--12 =48

7 0
3 years ago
Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64
valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0
3 years ago
Find -3a2 - b3 + 3c2 - 2b3 if a = 2, b = -1, and c = 3
Studentka2010 [4]
If you would like to solve - 3 * a^2 - b^3 + 3 * c^2 - 2 * b^3, if a = 2, b = -1, c = 3, you can calculate this using the following steps:

a = 2, b = -1, c = 3
- 3 * a^2 - b^3 + 3 * c^2 - 2 * b^3 = - 3 * 2^2 - (-1)^3 + 3 * 3^2 - 2 * (-1)^3 = - 3 * 4 - (-1) + 3 * 9 - 2 * (-1) = - 12 + 1 + 27 + 2 = 18

The correct result would be 18.

6 0
3 years ago
Read 2 more answers
3x-9x+6=20-3x+4x Please answer.
fomenos
I gotchu.
<span>3x-9x+6=20-3x+4x
Combine like terms.
-6x+6=20+x
Bring x over to the left side.
-x            -x
-7x+6=20
bring 6 to the right side.
     -6   -6
-7x=14
Divide -7 on both sides to isolate x.
x= -2

CHECK
</span><span>3x-9x+6=20-3x+4x
-6(-2)+6=20+(-2)
18=18 
ANSWER: x= -2</span>
6 0
3 years ago
Other questions:
  • Solves 2/7(4q+7/2)-3q=9
    9·1 answer
  • If the standard deviation of the data values in a sample is 17, what is the variance of the data values
    11·2 answers
  • What is the slope of the line?<br> * ILL GIVE YOU BRAINLIST HAVE TO GET IT RIGH *
    13·2 answers
  • In a class, 14 out of 20 students pack their lunches. What percent of students pack their lunches? $$
    12·2 answers
  • There are 3 identical wooden blocks with dimensions 30×4×3. If you glue them together, what is the smallest surface area you can
    6·1 answer
  • 3x+2y=6 and y=-3/2x+5
    15·1 answer
  • 1645.09 to the nearest hundredth
    7·1 answer
  • A graph that displays a collection of ordered pairs is called a ___.
    5·1 answer
  • What is 25% of 50? I ready diagnostic test
    14·2 answers
  • Pleasseeeee help !!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!