Answer:
see explanation
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
• The coefficient of the x² term must be 1
y = 2(x² - 9x) + 8
• add/subtract (half the coefficient of the x- term)² to x² - 9x
y = 2(x² + 2 (-
) x + (-
)² - (-
)²) + 8
y = 2(x -
)² - 2(
+ 8
= 2(x -
)² -
← in vertex form