Q: How often does Determine if a parabola opens up or down and find the vertex appear on the SAT?

This is a high-frequency concept on the SAT — you can expect to see it on almost every test. Mastering it has an outsized impact on your score.

Question 1

What is tested in SAT Nonlinear Functions: Determine if a parabola opens up or down and find the vertex?

Accepted Answer

For f(x) = ax² + bx + c, if a > 0 the parabola opens upward (vertex is a minimum); if a < 0 it opens downward (vertex is a maximum).

Question 2

How often does Determine if a parabola opens up or down and find the vertex appear on the SAT?

Accepted Answer

This is a high-frequency concept on the SAT — you can expect to see it on almost every test. Mastering it has an outsized impact on your score.

Question 3

How do I solve Determine if a parabola opens up or down and find the vertex questions on the SAT?

Accepted Answer

For f(x) = ax² + bx + c, if a > 0 the parabola opens upward (vertex is a minimum); if a < 0 it opens downward (vertex is a maximum). The x-coordinate of the vertex is x = −b / (2a). Plug that value back into f to get the y-coordinate. In vertex form f(x) = a(x − h)² + k, the vertex is (h, k) directly — no computation needed. A larger |a| makes the parabola narrower; a smaller |a| makes it wider.

SAT Math: Determine if a parabola opens up or down and find the vertex

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