To write: The equation of a graphed parabola in vertex form.
The required equation is
Given data: The graph of the parabola is shown in Fig. (1).
Method/Formula used:
The vertex form of the parabola is written as
Calculation:
Let the equation of the parabola is
From the graph Fig. (1), clearly the point
Since, the parabola (1) passes through point
Now, substitute
This parabola also should pass through point
Thus,
Therefore, vertex form of the equation of parabola shown in Fig. (1), is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education