Question

If the function f(x)=x^2 transformed into f(x-c)^2and is shifted right 3 units, what would the c value be?

Answer 1

Answer:

The value of $c$ must be 3.

Step-by-step explanation:

Let be $y = f(x)$, there is an horizontal translation when function is transformed into $y = f(x-c)$, where:

$c > 0$ - Shift to the right.

$c < 0$ - Shift to the left.

If $f(x) = x^{2}$ and it is shifted right, then the value of $c$ must be 3.