Download presentation

Presentation is loading. Please wait.

Published byJulius Barber Modified over 4 years ago

2
How do I write quadratic functions and models?

3
7.2 Write Quadratic Functions and Models Example 1 Write a quadratic function in vertex form Write a quadratic function whose graph has a vertex ( ) and passes through the point (0, 5). Solution Vertex form Substitute for h and k. Use the point (___, ___) to find a. Substitute for x and y. Solve for a. A quadratic function for the parabola is __________________.

4
7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. 1.Write a quadratic function whose graph has vertex (2, 1) and passes through the point (0, 4).

5
7.2 Write Quadratic Functions and Models Example 2 Write a quadratic function in intercept form Write a quadratic function whose graph has x-intercepts and and passes through the point ( ). Solution Intercept form Substitute for p and q. Use the point to find a. Substitute for x and y. Solve for a. A quadratic function for the parabola is __________________.

6
7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. 2.Write a quadratic function whose graph has x-intercepts and 2, and passes through the point (3, 21).

7
7.2 Write Quadratic Functions and Models Example 3 Write a quadratic function in standard form Write a quadratic function in standard form for the parabola that passes through the points ( ), (0 ), and ( ). Substitute the coordinates of each point into y = ax 2 + bx + c to obtain a system of three equations. Substitute for x and y. Equation 1 Substitute for x and y. Equation 2 Substitute for x and y. Equation 3

8
7.2 Write Quadratic Functions and Models Example 3 Write a quadratic function in standard form Write a quadratic function in standard form for the parabola that passes through the points ( ), (0 ), and ( ). Rewrite the system as a system of two equations. Substitute for c. Revised Equation 1 Substitute for c. Revised Equation 3

9
7.2 Write Quadratic Functions and Models Example 3 Write a quadratic function in standard form Write a quadratic function in standard form for the parabola that passes through the points ( ), (0 ), and ( ). Solve the system consisting of revised Equations 1 and 3. Revised Equation 1 Revised Equation 3 Add equations. Solve for a. So, ___________=_____, which means b = ___. A quadratic function for the parabola is _____________________.

10
7.2 Write Quadratic Functions and Models Checkpoint. Complete the following exercise. 3.Write a quadratic function in standard form for the parabola that passes through the points and

11
7.2 Write Quadratic Functions and Models Pg. 266, 7.1 #1-11

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google