Question

Which of these is the quadratic parent function? A. f(x) = x2 B. f(x) = x2 + 3 C. f(x) = x2 – 5 D. f(x) = –4x2

Answer 1

A.

This is because this is a base of which many different translations can occur.

Answer 2

The correct option is A. f(x) = x²

Explanation:

B. f(x) = x² + 3

This is not the parent function as the parent quadratic function x² is translated to left by 3 units

So, This option is rejected

C. f(x) = x² - 5

This is not the parent function as the parent quadratic function x² is translated to right by 5 units

So, This option is rejected

D. f(x) = -4x²

This is not the parent function as the parent quadratic function x² is translated down by 4 units

So, This option is rejected

A. f(x) = x²

As this function is in its base form so this is the parent function and this is the required correct option