8
QuizMultiple Choice

Quadratic Functions: Vertex Form

Question 8 • High School Math 2 A

What value represents the vertical translation from the graph of the parent function f(x)=x2 to the graph of the function g(x)=(x+5)2+3?

Answer
−
−5
−
−3
3
3
5
5

Explanation

In vertex form, g(x) = (x + 5)² + 3, the number added outside the squared expression gives the vertical translation. The +3 shifts the parent graph y = x² upward 3 units; the +5 inside the parentheses changes the horizontal position, not the vertical translation. So the vertical translation is 3, choice C.

AI-written and checked against the verified answer.

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