Determine the quadratic function whose graph is given

Question

The vertex is (-1,-1) & the y-int is (0,6)

What is F(x) ?

Answer 1

f(x) = a(x - h)2 + k

h = -1
k = -1

f(x) = a(x + 1)2 - 1

f(0) = 6 ⇒

a(0 + 1)2 - 1 = 6

a - 1 = 6

a = 7

f(x) = 7(x + 1)2 - 1

Answer 2

f(x) = a(x - h)² + k

 

h = -1

k = -1

 

f(x) = a(x + 1)² - 1

 

f(0) = 6 ⇒

 

a(0 + 1)² - 1 = 6

 

a - 1 = 6

 

a = 7

 

f(x) = 7(x + 1)² - 1

 

Test the answer.