1 / 10

QUADTRATIC RELATIONS

QUADTRATIC RELATIONS. X and Y Intercepts. X versus Y intercepts. (0, y) (x, 0). EXAMPLE:. Find the y intercept of y=5x 2 + 2x – 4 Solution: Substitute x=0 y= 5(0) 2 + 2(0) – 4 = - 4. ∴ , the coordinates of the y-intercept are (0, -4). (0, y).

neviah
Download Presentation

QUADTRATIC RELATIONS

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. QUADTRATIC RELATIONS X and Y Intercepts

  2. X versus Yintercepts • (0, y) (x, 0)

  3. EXAMPLE: • Find the y intercept of y=5x2+ 2x – 4 • Solution: Substitute x=0 • y=5(0)2+ 2(0) – 4 • = - 4 ∴, the coordinates of the y-intercept are (0, -4) • (0, y) Calculate by substituting 0 for y First number is 0

  4. Y-intercept Where it touches the y-axis • To find the y intercept, the x coordinate is 0 and the y coordinate is found by substituting 0 for x in the relation and calculating the value for y. • (0, y) Calculate by substituting 0 for y First number is 0

  5. EXAMPLE: • Find the y intercept of y=5x2+ 2x – 4 • Solution: Substitute x=0 • y=5(0)2+ 2(0) – 4 • = - 4 ∴, the coordinates of the y-intercept are (0, -4) • (0, y) Calculate by substituting 0 for y First number is 0

  6. x-intercept (aka “zeros”) Where it touches the x-axis • To find the x intercept, the y coordinate is 0 and the x coordinate is found by substituting the values for a, b and c into the equation below, and then calculate x. QUADRATIC FORMULA • (x, 0) Calculate by using the above formula The second number is 0

  7. x-intercept (aka “zeros”) Where it touches the x-axis • So the quadratic formula is used to find the x-intercepts. • There can be 2, 1 or no x-intercepts. • (x, 0) Calculate by using the above formula The second number is 0

  8. Example: Find the x-intercepts for y= 2x2+ 5x -1 Recall: For quadratic equation ax2 + bx + c = 0, the solutions to a quadratic equation are given by Identify a, b, and c in ax2 + bx + c = 0: a = b = c = 2 -1 5 Now evaluate the quadratic formula at the identified values of a, b, and c

  9. 2 x-intercepts • (0.186, 0) • (-2.686, 0)

  10. X-INTERCEPTS COMPLETE QUESTION 13 (14 is homework) Find the x-intercepts if any!

More Related