Question the-pa

2.1 Nonlinear Functions - Quadratic graphs and vertex form
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  • The parabola opens upward.
  • The parabola passes through the following points:
    • (negative 1 comma 5)
    • (0 comma 2)
    • (1 comma 5)

The graph of the quadratic function y=fx is shown. What is the vertex of the graph?

A.

0,-2

B.

0,-3

C.

0,2

D.

0,3

The parabola opens upward. The parabola passes through the following points: (negative 1 comma 5) (0

Easy-difficulty · SAT Math · Nonlinear Functions — Quadratic graphs and vertex form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice C is correct. The vertex of the graph of a quadratic function in the xy-plane is the point at which the graph is either at its minimum or maximum y-value. In the graph shown, the minimum y-value occurs at the point 0,2.

Choice A is incorrect. The graph shown doesn't pass through the point 0,-2.

Choice B is incorrect. The graph shown doesn't pass through the point 0,-3.

Choice D is incorrect. The graph shown doesn't pass through the point 0,3.