4.6 Part 1 NOTES Graphing Quadratic Inequalities BELLWORK # 1: Identify which form each quadratic equation is written in. A) y = 2(x ‑ 1) 2 +7 B) y =‑ (x ‑ 4)(x + 8) C) y =3x 2 D) y =‑x 2 +9x + 10 Vertex Standard Standard (Basic) Intercept BELLWORK # 2: Graph the linear inequality. y <2x ‑3 0 < -3 ? false Shade away from (0, 0) LESSON 4.6 - Graphing Quadratic Inequalities • Today we will be graphing QUADRATIC INEQUALITIES . • These are a combination of what weʹve done so far this chapter (graphing parabolas) PLUS what we did last chapter (graphing lines and shading on one side). HOW TO GRAPH QUADRATIC INEQUALITIE STEP 1: Graph the parabolas like you normally would • Use a solid curve for ≤ and ≥ • Use a dotted curve for < and > STEP 2: Plug the point (0, 0) into the original inequality to see if it gives you a true statement. • If it does give you a true statement, shade where (0, 0) is • If it gives you a false statement, shade where (0, 0) is not NOTE: If the parabola passes through the point (0, 0), then you must pick a different point to plug in. STEP 3: The solution is the area that you shade. Graph the quadratic inequality. y ≥(x + 3) 2 ‑2 0 ≥ (0 + 3) 2 - 2 ? 0 ≥ 7 ? false Shade away from (0, 0)