1 / 12

DÉJÀ VU: Graphing Linear Inequalities

Then shade the region above the boundary line to show. The boundary line is which has a y -int of (0, 2) and a slope of. DÉJÀ VU: Graphing Linear Inequalities. Graph the inequality. Draw the boundary line dashed because it is not part of the solution.

fwise
Télécharger la présentation

DÉJÀ VU: Graphing Linear Inequalities

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. Then shade the region above the boundary line to show . The boundary line is which has a y-int of (0, 2) and a slope of . DÉJÀ VU: Graphing Linear Inequalities Graph the inequality . Draw the boundary line dashed because it is not part of the solution.

  2. Earlier we solved linear inequalities in two variables by graphing. We can use a similar procedure to graph quadratic inequalities.

  3. Notes For A) f(x)= -x2 + 7 B) f(x)= x2 + 8x - 20 C) f(x)= -2(x-3)2 +7 Identify the vertex, and state the domain and range 2. For y > (x+1)2 – 3 A. State shifts B. Find vertex C. Graph (and shade) 3. Fory > -x2 – 4x A. Up or downward B. Find vertex C. Graph (and shade) 4. Fory ≤ x2 + 9x + 14 A. Up or downward B. Find vertex C. Find y-intercept D. Graph (& shade)

  4. Notes Identify the vertex, state the domain and range for A) f(x)= -x2 + 7 B) f(x)= x2 + 8x – 20 C) f(x)= -2(x-3)2 +7 2. For y = (x+1)2 – 3 A. State shifts B. Find vertex C. Graph y > (x+1)2 – 3 (and shade)

  5. Example 1: Graphing Quadratic Inequalities in Two Variables Graph y ≥ x2 – 7x + 10. Step 1 Graph the boundary of the related parabola y = x2 – 7x + 10 with a solid curve. Its y-int is (0,10), its vertex is (3.5, –2.25).

  6. Example 1 Continued Step 2 Shade above the parabola because the solution consists of y-values greater than those on the parabola for corresponding x-values.

  7. Example 2 Graph the inequality. y ≥ 2x2 – 5x – 2 Step 1 Graph the boundary of the related parabola y = 2x2 – 5x – 2 with a solid curve. Its y-int is (0,–2), its vertex is (1.3, –5.1).

  8. Example 2 Continued Step 2 Shade above the parabola because the solution consists of y-values greater than those on the parabola for corresponding x-values.

  9. Example 3 Graph each inequality. y < –3x2 – 6x – 7 Step 1 Graph the boundary of the related parabola y = –3x2 – 6x – 7 with a dashed curve. Its y-intercept is (0, –7).

  10. Example 3 Continued Step 2 Shade below the parabola because the solution consists of y-values less than those on the parabola for corresponding x-values.

  11. Notes 3. Fory > -x2 – 4x A. Up or downward B. Find vertex C. Graph (and shade) 4. Fory ≤ x2 + 9x + 14 A. Up or downward B. Find vertex C. Find y-intercept D. Graph (and shade)

  12. Notes 4. Fory ≤ x2 + 9x + 14 A. State whether it opens upward or downward B. Find the vertex C. Find the y-intercept D. Graph the boundary line E. Shade

More Related