Therefore the parabola is narrow and points upward. In this graph, coefficient a is smaller. Therefore, the parabola is wider. Here, coefficient a is negative, therefore the endpoints o f the parabola point downward. The linear-term coefficient b shifts the axis of symmetry away from the y -axis. The direction of shift depends on the sign of the quadratic coefficient and the sign of the linear coefficient.
The constant term c affects the y -intercept. The greater the number, the higher the intercept point on the y -axis. Jennifer Ledwith is the owner of tutoring and test-preparation company Scholar Ready, LLC and a professional writer, covering math-related topics. Updated August 07, Featured Video. Cite this Article Format.
Ledwith, Jennifer. Parabola Changes in Quadratic Functions. Math Glossary: Mathematics Terms and Definitions. How to Find the Y-Intercept of a Parabola. The Quadratic Formula - One x-intercept. Understanding the X-Intercept of a Quadratic Function. Functions with the T-Distribution in Excel. What are the Zeros of a Quadratic Function? Introduction to the Budget Constraint. Your Privacy Rights. To change or withdraw your consent choices for ThoughtCo.
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