Question

Consider the function shown on the graph.

Answer 1

C.) y = 3(x - 3)(x - 7)

For the function:

• x intercept: (3, 0), (7, 0)

• vertex point: (5, -12)

• point: (8, 15)

Writing equation:

y = a(x - h)² + k

15 = a(8 - 5)² - 12

15 = 9a - 12

9a = 15 + 12

9a = 27

a = 3

So the equation is:

y = 3(x - 5)² - 12

y = 3(x² - 10x + 25) - 12

y = 3x² - 30x + 63

y = 3(x - 3)(x - 7)