What is the vertex form of y = 2x2 − 8x + 1?

y = 2(x - 2)² - 7

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

to obtain this form use the method of ' completing the square'

the coefficient of the x² term must be 1 → (factor out 2)

y = 2(x² - 4x + )

add/subtract ( coefficient of the x- term)² to x² - 4x

y = 2(x² + 2(- 2) + (- 2)² - (- 2)² + )

y = 2(x - 2)² + 2( - )= 2(x - 2)² - 7

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.