1 / 11

Warm Up

Warm Up. Graphing Quadratic Functions. Graphing Quadratic Functions. Brainstorm everything you know about a quadratic function. THE GRAPH OF A QUADRATIC FUNCTION. The parabola opens up if a>0 and opens down if a<0. y = x 2.

boris-pickett
Download Presentation

Warm Up

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. Warm Up

  2. Graphing Quadratic Functions

  3. Graphing Quadratic Functions Brainstorm everything you know about a quadratic function.

  4. THE GRAPH OF A QUADRATIC FUNCTION The parabola opens up if a>0 and opens down if a<0 y = x2 The parabola is wider than the graph of y = x2 if |a| < 1 and narrower than the graph of y = x2 if |a| > 1. vertex y = -x2 Axis of symmetry

  5. STANDARD FORM Graph y = 2x2 -8x +6 Solution: The coefficients for this function Since a>0, the parabola opens up. The x-coordinate is: x = -b/2a The y-coordinate is: The vertex is a = 2, b = -8, c = 6. x = -(-8)/2(2) x = 2 y = 2(2)2-8(2)+6 y = -2 (2,-2).

  6. GRAPH VERTEX: AXIS OF SYMMETRY: Y INTERCEPT:

  7. VERTEX FORM OF QUADRATIC EQUATION y = a(x - h)2 + k • The vertex is (h,k). • The axis of symmetry is x = h.

  8. GRAPHING A QUADRATIC FUNCTION IN VERTEX FORM Example y = -1/2(x + 3)2 + 4 VERTEX: AXIS OF SYMMETRY: Y INTERCEPT:

  9. INTERCEPT FORM OF QUADRATIC EQUATION y = a(x - p)(x - q) • The x intercepts are p and q. • The axis of symmetry is halfway between (p,0) and (q,0).

  10. GRAPHING A QUADRATIC FUNCTION IN INTERCEPT FORM Example y = -(x + 2)(x - 4). VERTEX: AXIS OF SYMMETRY: Y INTERCEPT: X INTERCEPT:

  11. WRITING THE QUADRATIC EQUATION IN STANDARD FORM (1). y = -(x + 4)(x - 9) (2). y = 3(x -1)2 + 8 -x2 + 5x + 36 3x2 - 6x + 11

More Related