In y = a(x − h)^2 + k, the parameter a determines which aspect?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Sharpen your skills for the Praxis Middle School Mathematics Test. Prepare with a variety of questions, hints, and explanations. Get ready to ace your exam!

Multiple Choice

In y = a(x − h)^2 + k, the parameter a determines which aspect?

Explanation:
In the vertex form y = a(x − h)^2 + k, the vertex is fixed at (h, k), but the parameter a controls how the graph behaves vertically. If a is positive, the parabola opens upward; if a is negative, it opens downward. The magnitude of a determines the width: larger |a| makes the parabola narrower and steeper, while smaller |a| makes it wider and more shallow. The axis of symmetry is the vertical line x = h, so that part does not change with a.

In the vertex form y = a(x − h)^2 + k, the vertex is fixed at (h, k), but the parameter a controls how the graph behaves vertically. If a is positive, the parabola opens upward; if a is negative, it opens downward. The magnitude of a determines the width: larger |a| makes the parabola narrower and steeper, while smaller |a| makes it wider and more shallow. The axis of symmetry is the vertical line x = h, so that part does not change with a.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy