To sketch: The graph of a parabola for given axis of symmetry and point/s.
Given data: The parabola has
Method/Formula used:
The vertex form of the parabola is given by
Calculation:
Suppose the equation of parabola is
Since axis of symmetry of the required parabola is
The parabola has y -intercept equal to 1, therefore, parabola (2), passes through point
OR
Also, the parabola passes through the point
OR
Subtraction equation (4) from equation (3),
Therefore,
Substitute
Substitute
The graph of the parabola is shown in Fig. 1.
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- 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