Advanced Math practice question

Answer: B. (3, 4)

In vertex form f(x) = (x − h)² + k, the vertex is (h, k). Here h = 3 (note the minus sign in x − 3) and k = 4, so the vertex is (3, 4).

Why the other answers are wrong

A. (−3, 4)

The vertex form is (x − h)² + k, so x − 3 means h = +3, not −3; the sign in the parentheses is already the subtraction.

C. (3, −4)

You flipped the sign of k — the +4 is added outside the square, so the y-coordinate is 4, not −4.

D. (4, 3)

You reversed the coordinates: h = 3 is the x-coordinate and k = 4 is the y-coordinate, giving (3, 4).

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