Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?
y = 2(x – 2)2 + 9
y = 2(x – 2)2 + 5
y = 2(x – 2)2 + 1
y = 2(x – 2)2 + 17

Option (c) is correct.

The vertex form of the given equation is  

Step-by-step explanation:

Given equation

We have to rewrite the given equation in vertex form

The general equation in vertex form is , where (h,k) is the vertex.

Consider the given equation ,

taking 2 common from right side, we have

Using algebraic identity  

In given equation  a = x .....(1)

and -4x = 2ab

using (1) ⇒ -4 = 2b ⇒ b= -2

To make perfect square add and subtract b² = 4 term in equation , we have,

Solving , we have,

Solving constant term , we have

Solving , we get,

Thus, the vertex form of the given equation is  

step-by-step explanation:

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