The equation 4x^2+8x+15=0 is being rewritten in vertex form

Vertex form is y = (2x+2)^2 + 7  

Step-by-step explanation:

The vertex form is

y = (x-h)^2+k

Where (h,k) is the vertex.

Let

y = 4x^2 + 8x +15

Add -15 on both sides

y-15 = 4x^2+8x+15 -15

y-15 = 4x^2+8x

Making whole square formula on Right hand side (a+b)^2

(2x)^2 + 2(2x)(2)+(2)^2 = (2x+2)^2

Adding (2)^2 on both sides of the equation

y-15+(2)^2=4x^2+8x+(2)^2

y-15+4=(2x+2)^2

y-7 = (2x+2)^2

y = (2x+2)^2 + 7

So, Vertex form is y = (2x+2)^2 + 7  

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step-by-step explanation:

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