Question

HELP ASAP PLEASE AND SHOW WORK!!!

Answer 1

Answer:

            f(x) = 2(x - 6)² - 3

Step-by-step explanation:

f(x) = a(x - h)² + k   ← vertex form of parabola equation with vertex (h, k)

So:

f(x) = a(x - 6)² + (-3)

f(x) = a(x - 6)² - 3      ←  vertex form of our parabola equation

Parabola goes through (8, 5) so if x=8 then f(x)=5

5 = a(8-6)² - 3

5 +3 = a(2)² - 3  +3

8 = 4a

a = 2

That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):

                                         f(x) = 2(x - 6)² - 3