Question

Which function represents a translation of the graph y=x^2 by 5 units to the left?

A. y=x^2+5

B. y=(x-5)^2

C. y=5x^2

D. y=(x+5)^2

Answer 1

The answer is indeed D. Units to the LEFT means addition. Units to the RIGHT means subtraction.

Answer 2

It's D.

Explanation:

y = f(x) - a translation of a units to the left transforms f(x) to f(x + a).

So the answer is y = (x + 5)^2