FINDING INVERSE OF QUADRATIC FUNCTION WORKSHEET

For each quadratic function, complete the square and then determine the equation of the inverse.

Problem 1 :

f(x) = x² + 6x + 15

Problem 2 :

f(x) = 2x² + 24x - 3

Problem 3 :

f(x) = x² + 2x - 24

Problem 4 :

f(x) = p² + 12p - 54

Problem 5 :

f(x) = x² - 8x + 15

Problem 6 :

f(x) = r² + 18r + 56

Answer Key

1) f^-1(x) = -3 ± √x - 6.

2) f^-1(x) = - 6 ± √(x + 39)/2

3) f^-1(x) = -1 ± √x + 25

4) f^-1(x) = -6 ± √x + 90

5) f^-1(x) = 4 ± √x + 1

6) f^-1(x) = -9 ± √x + 25