Question

The parent function of a graph is f(x) = x2. The graph shifts a units to the left and down b units. Which function models the transformed function?

A) y = x2 - a + b
B) y = (x - a)2 - b
C) y = (x + a)2 - b
D) y = (x - b)2 - a

Answer 1

C) y = (x + a)2 - b is the answer

Answer 2

Option c

Explanation:

A parent function is given by f(x) = x²

If the graph of the parent quadratic function is shifted a units to the left then new function will become

f'(x) = (x+a)²

Now the new function f'(n) is shifted b units down then the shifted function will be

f" (x) = (x + a)² - b

Therefore, Option c. is the answer.