1. 2.2 Transformers: More Than Meets the y’s
A Solidify Understanding Task
Prior Knowledge: 4 Transformations
Begin with the Parent function
Description of Transformation Change to function Change to coordinates
Translate down 3
Multiply by 3
Add 3 to x-coordinates
Reflect x-axis
Replace x with –x

2. Small Groups
Whole group 1st problem.
Pairs complete 2nd problem.
3rd problem one person works problem and explains, other person questions
4th problem reverse roles of problem 3 and be prepared to present
List the transformations, move and plot 3 points to create a graph, label vertex.
Describe transformation and how it changes points.
Graph the parent function and identify 3 points. Change the 3 points.
Graph the new points to create graph.
Explain how you can find the vertex and the axis of symmetry in the equation.

3. Write the equation for each problem below. Use a second representation
Write the equation for each problem below. Use a second representation. Choices: table, graph, equation.
The area of a square with side length x, where the side length is decreased by 3,
the area is multiplied by 2 and then 4 square units are added to the area. 3. 2. x
f(x) -4 7 -3 2 -2 -1 1 3 14 4 23

4. 4.

5. Graph each equation without using technology. List the transformations
Graph each equation without using technology. List the transformations. Be sure to have the exact vertex and at least two correct points on either side of the line of symmetry.
5. f (𝑥) = −𝑥2 + 3
6. g(𝑥) = (𝑥+ 2)2 − 5
7. ℎ(𝑥) = 3(𝑥− 1)2 + 2

6. 8. Given: f (𝑥) = 𝑎(𝑥− ℎ)2 + 𝑘
What point is the vertex of the parabola?
What is the equation of the line of symmetry?
How can you tell if the parabola opens up or down?
How do you identify the dilation?
Does it matter in which order the transformations are done?
Explain why or why not with an example?

7. Computational skills: Multiplying binomials
Def) binomial –
Complete Ready of Section 2.2

8. Complete Set of Section 2.2 Problems 12-17

9. 14
NAME Structures of Expressions 2.2 Go
Use the table to identify the vertex, the equation for the axis of symmetry, and state the number of x-­intercept(s) the parabola will have, if any. Will the vertex be a minimum or a maximum?
26.
vertex
A.S.
x - intercept
max or min?