Determine the quadratic function f whose graph is given. The vertex is (-3,-13) and the y intercept is -4

Question

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Answer 1

f(x) = a(x - h)² + k

 

h = -3

k = -13

 

f(x) = a(x + 3)² - 13

 

Use the y-intercept (0,-4) to find a.

 

-4 = a(0 + 3)² - 13

 

-4 = 9a - 13 

 

a = 1

 

f(x) = (x + 3)² - 13