To find: The equation of a parabola whose vertex and y -intercept is given.
The required parabola is
Given data: The vertex of the parabola is
Method/Formula used:
The standard equation of a parabola with vertex
Calculation:
The vertex of the parabola is
The y -intercept of the parabola is 2, therefore the parabola (2), passes through the point
Substitute
Substitute
Thus, the required parabola is
The graph of required parabola is shown in Fig. (1).
Conclusion:
The required parabola 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