Quadratic Functions: Vertex Form — Quiz

Question 3 • Algebra I

Sanjay begins to correctly graph the function f of x is equal to x plus 1 squared negative 3 Based on the axis of symmetry and the vertex, which graph could be Sanjay’s?

Answer

Image with description On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (1, negative 3).

Image with description On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 1, negative 3).

Image with description On a coordinate plane, a vertical dashed line at (negative 3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (negative 3, 1).

Image with description On a coordinate plane, a vertical dashed line at (3, 0) is parallel to the y-axis. A solid circle appears on the dashed line at (3, negative 1).

Explanation

The function is f(x) = (x + 1)² − 3, which is in vertex form f(x) = (x − h)² + k. Its vertex is (−1, −3), and its axis of symmetry is x = −1. Choice D shows both that vertex and axis of symmetry.

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