Determine the quadratic function f whose graph is given. Vertex (2,-2) other point (1,1)

Question

 Determine the quadratic function f whose graph is given. vertex (2,-2) other point (1,1)

Answer 1

f(x) = a(x - h)² + k; h = 2, k = -2

 

f(x) = a(x - 2)² + (-2)

 

f(x) = a(x² - 4x + 4) - 2; x = 1, f(x) = 1

 

1 = a(12 - 4(1) +4) - 2

 

1 = a(12) - 2

 

3 = 12a

 

1/4 = a

 

f(x) = (1/4)(x - 2)² - 2

 

A²