1. 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)

2. 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

3. 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

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

5. 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

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