Question

Which of the following correctly determines how many k units the parent function y=x2
(shown as a solid line) was translated?

(1 point)

The parent function was translated 6 units to the left.

The parent function was translated 5 units to the left.

The parent function was translated 5 units to the right.

The parent function was translated 6 units to the right.

Answer 1

I don’t have the graph or equation, so I can’t pick the correct option yet. Tell me the vertex or the transformed equation (or upload the graph) and I’ll answer.

How to determine it:
- Find the vertex of the transformed parabola. The parent y = x^2 has vertex at (0,0).
- If the vertex is (h,0), the parabola was translated h units right if h > 0, or |h| units left if h < 0.
- In equation form: y = (x − k)^2 is translated k units right; y = (x + k)^2 is translated k units left.

Examples tied to the choices:
- y = (x + 6)^2 → 6 units left.
- y = (x + 5)^2 → 5 units left.
- y = (x − 5)^2 → 5 units right.
- y = (x − 6)^2 → 6 units right.

Provide the vertex or equation and I’ll pick the correct option.