6
QuizMultiple Choice

Quadratic Functions: Vertex Form — Quiz

Question 6 • Algebra I

Which graph shows the axis of symmetry for the function f of x is equal to open paren x minus 2 close paren squared plus 1 ?

Answer
A
Image with description On a coordinate plane, a vertical dashed line at 2 comma 0 is parallel to the y-axis.
B
Image with description On a coordinate plane, a vertical dashed line at negative 1 comma 0 is parallel to the y-axis.
C
Image with description On a coordinate plane, a vertical dashed line at 1 comma 0 is parallel to the y-axis.
D
Image with description On a coordinate plane, a vertical dashed line at negative 2 comma 0 is parallel to the y-axis.

Explanation

The function is in vertex form, f(x) = (x − h)² + k, whose axis of symmetry is the vertical line x = h. Here h = 2, so the axis is x = 2. Choice D shows the vertical line at x = 2.

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