Download presentation

Presentation is loading. Please wait.

Published byFrancine Fields Modified over 4 years ago

1
Solving quadratic equations by graphing

2
X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = 1 b = -2 c = -3 --2 2 ∙1 2222 The x coordinate of the vertex is at 1 Substitute to find the y value The vertex is at (1, -4) The solutions are found where the graph crosses the x-axis ( x intercepts) x² - 2x – 3 = 0 One solution is At (-1, 0) One solution is At (3, 0)

3
X Y I 2x = x² + 1 You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = -1 b = 2 c = -1 -2 2 ∙-1 -2 The x coordinate of the vertex is at 1 Substitute to find the y value The vertex is at (1, 0) The solutions are found where the graph crosses the x-axis ( x intercepts) -x² + 2x – 1 = 0 This graph only has one solution at (1, 0)

4
X Y I x² + 7 = 4x You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = 1 b = -4 c = 7 --4 2 ∙1 4242 The x coordinate of the vertex is at 2 Substitute to find the y value The vertex is at (2, 3) The solutions are found where the graph crosses the x-axis ( x intercepts) x² - 4x + 7 = 0 This equation has no real solution because the graph does NOT touch the x-axis at all

5
Page 647 4 – 40 by 4s

6
X Y I x² - 2x = 3 You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The solutions are found where the graph crosses the x-axis ( x intercepts) = 0 One solution is At (, ) One solution is At (, )

7
X Y I 2x = x² + 1 You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The solutions are found where the graph crosses the x-axis ( x intercepts) = 0 This graph only has one solution at (, )

8
X Y I x² + 7 = 4x You have to rewrite the equation to find the vertex before you can graph this function Use the formula -b 2a a = b = c = - 2 ∙ The x coordinate of the vertex is at Substitute to find the y value The vertex is at (, ) The solutions are found where the graph crosses the x-axis ( x intercepts) = 0

Similar presentations

© 2021 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