Question

HELP PLEASE BE QUICK

Answer 1

Answer:

C.

f(x) = 8*(x - 1)²

f(x) = 8x² - 16x + 8

Step-by-step explanation:

vertex form:

f(x) = a*(x - h)² + k

where (h, k) is the vertex of the parabola

In this case, the vertex of the parabola is at (1, 0). Replacing this information into the equation we get:

f(x) = a*(x - 1)²

The parabola passes through point (2, 8). Replacing this information into the previous equation we get:

8 = a*(2 - 1)²

8 = a

Then, the final equation is:

f(x) = 8*(x - 1)²

Expanding the quadratic term and applying distributive property:

f(x) = 8*(x² - 2x + 1)

f(x) = 8x² - 16x + 8