Question

Write the vertex form of the quadratic equation by completing the square and upload a picture of your work. y=4x^2+16x-48

Answer 1

The vertex form of the quadratic equation given is  y = 4(2x +1)² -12

What is an Equation ?

An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.

A quadratic equation is given

y = 4x² +16x -48

The vertex form has to be written for it

The standard quadratic equation is

y = a(x-h)² +k

where h and k are the vertex

From the given equation

y = 4x² +16x +4 - 4 -8

y = (4x+2)² -12

y = 4(2x +1)² -12

So here it is in the standard form

Vertex is (-1 , -12)

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