Question

Write a quadratic function to model the graph to the right.

Answer 1

y = (x-4)² + 2 or x² -8x + 18

Explanation:

vertex (h,k) = (4 , 2) and pass (0 , 18), h = 4 k = 2

parabola equation: y = a(x-h)² + k

pass (0 , 18): 18 = a (0 - 4)² + 2 = 16a + 2

16a = 18-2 = 16

a = 1

equation: y = (x-4)² + 2 or x² -8x + 18