Answer:
y = (x - 2)² - 9 Vertex form
y = x² - 4x - 5 Standard form
Step-by-step explanation:
vertex = (h, k) = (2, -9)
Vertex form
y = a(x - h)² + k
y = a(x - 2)² - 9
find "a" using point (5, 0)
0 = a(5 - 2)² - 9
0 = a(3)² - 9
0 = 9a - 9
9 = 9a
a = 1
y = (x - 2)² - 9
Standard form
y = (x² - 4x + 4) - 9
y = x² - 4x - 5