Lesson 5.3 Transforming Parabolas

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Presentation transcript:

Lesson 5.3 Transforming Parabolas Objectives: Be able to graph a quadratic function in vertex form Be able to write a quadratic function in vertex form (2 ways)

Vertex Form of a Quadratic Vertex Form of a Quadratic Equation: Vertical Translation Reflection over x-axis if a is negative, vertical stretch (a > 1) or shrink (a < 1) Horizontal translation (opposite of what you see!) *The vertex of the parabola is (h, k) and the axis of symmetry is x = h. 2

Graphing Equations in Vertex Form a. Vertex (horiz. and vert. translation) b. Axis of symmetry c. Table Point Vertex Corresp. d. Ask: Correct reflection? Correct stretch or shrink? x y 3

Vertex Form from Graph Ex 4) Write the equation for the following parabola in vertex form: y = a(x – h)2 + k 4

Vertex Form from Standard Form Ex5) Write y = 2x2 + 10x + 7 in vertex form. a. Find the x-coordinate of the vertex (h): b. Find the y-coordinate of the vertex (k): c. Substitute a, h, and k into vertex form: 5

Lesson 5.3 Transforming Parabolas Homework #25 Pg 255 # 2-12 even, 13, 14, 27, 32, 34, 51 5.1-5.3 Quiz on Tuesday!