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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

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