Download presentation

Presentation is loading. Please wait.

Published byDarwin Rounsville Modified over 5 years ago

2
Understand that the x-intercepts of a quadratic relation are the solutions to the quadratic equation Factor a quadratic relation and find its x- intercepts, and then sketch the graph Solve real-world problems by factoring a quadratic equation and finding the intercepts of the corresponding quadratic relation Determine the equation of a quadratic relation in the form y = a(x – r)(x – s) from a graph

3
Set y = 0 and solve for x:

4
The x-intercepts(or zeros) of the quadratic relation are the solutions to the quadratic equation If the x-intercepts r and s are found, the x- coordinate of the vertex is The y-coordinate of the vertex is found by substituting the x-coordinate into the original equation.

5
SOLUTION:

11
1) Two x-intercepts – two different factors leads to two solutions – graph crosses twice. 2) One x-intercept – factor is a perfect square that leads to one solution – graph just touches the x-axis. 3) No x-intercepts – cannot solve the quadratic equation by factoring – graph never touches the x-axis.

14
An engineer uses the equation to design an arch, where h is the height in metres and d is the horizontal distance in metres. How wide and tall is the arch? Solution:

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