 # 1.2. Lesson 5.1& 5.2, Quadratics Most Missed on Test Solve the system: 3. ANSWER The length of a rectangle is 7.8 cm More than 4 times the width. Perimeter.

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1.2. Lesson 5.1& 5.2, Quadratics Most Missed on Test Solve the system: 3. ANSWER The length of a rectangle is 7.8 cm More than 4 times the width. Perimeter Is 94.6. What are the dimensions? 4. ANSWER

Lesson 5.1-Modeling Data Lesson 5.2- Properties of Parabolas

y = ax 2 + bx + c The parabola will open down when the a value is negative. The parabola will open up when the a value is positive. Standard Form The standard form of a quadratic function is a > 0 a < 0 “Maximum” “Minimum”

y x Line of Symmetry Parabolas have a symmetric property to them. If we drew a line down the middle of the parabola, we could fold the parabola in half. We call this line the line of symmetry. The line of symmetry ALWAYS passes through the vertex. Or, if we graphed one side of the parabola, we could “fold” (or REFLECT) it over, the line of symmetry to graph the other side.

In order to graph a parabola, we need 3 things: 1)Axis of Symmetry 2) Vertex 3) y-intercept or use table 1)Axis of Symmetry 2) Vertex- Is a ordered pair (x,y) We have the “x” To find “y” substitute the “x” value into the original equation vertex 3) y-intercept y-intercept = (0,-1)

1)Axis of Symmetry 2) Vertex 3) y-intercept or use table x = -1 (-1, -1) (0, 3)

Classwork: SW: pg.383, 7-17 oddpg.383, 7-17 odd pg.385, 21-29 odd

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