Answer:
C
Step-by-step explanation:
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
Given
y = 2x² - 8x + 9
The coefficient of the x² term must be 1, so factor out 2 from 2x² - 8x
y = 2(x² - 4x) + 9
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
y = 2(x² + (- 2)x + 4 - 4) + 9
= 2(x - 2)² - 8 + 9
= 2(x - 2)² + 1 → C
