Question

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?


A. y = 2(x – 2)2 + 9
B. y = 2(x – 2)2 + 5
C. y = 2(x – 2)2 + 1
D. y = 2(x – 2)2 + 17

Answer 1

I hope this helps you



y= 2 (x^2-4x+4)+1


y=2 (x.x-2.2.x+(-2). (-2))+1


y= 2. (x-2)^2+1

Answer 2

we have

$y=2x^{2} -8x+9$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-9=2x^{2} -8x$

Factor the leading coefficient

$y-9=2(x^{2} -4x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-9+8=2(x^{2} -4x+4)$

$y-1=2(x^{2} -4x+4)$

Rewrite as perfect squares

$y-1=2(x-2)^{2}$

$y=2(x-2)^{2} +1$-----> equation in vertex form

therefore

the answer is the option C

$y=2(x-2)^{2} +1$