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9-12 Extra Support Materials for Algebra 1 Unit 8 Lesson 22

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Extra Support Materials for Algebra 1

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Lesson 22

22.1 Warm-up 22.2 Activity 22.3 Activity

Unit 8, Lesson 22

Features of Parabolas

Extra Support Materials for Algebra 1

22.1

Warm-up

Match the equation to the graph. Be prepared to explain your reasoning.

A

B

C

D

22.2

Activity

Graph the function .
Find the coordinates for the
1. -intercepts
2. -intercept
3. vertex
Draw a dashed line along the line of symmetry for the graph.
What do you notice about the line of symmetry as it relates to the:
1. vertex
2. -intercepts
Use the line of symmetry and the -intercept to find another point on the parabola.

22.3

Activity

Write the equation of a function that is represented by a graph with -intercepts at and .
1. Without graphing the function, find the -intercept. Explain or show your reasoning.
2. Without using graphing technology, use the three points you know to sketch the graph of this function.
3. What is the -coordinate of the vertex? Explain your reasoning.
4. Using the -coordinate you found for the vertex, find the coordinate pair for the vertex.
Use the graph to answer the questions.
1. What do you know about the coordinates of the -intercept?
2. What do you know about the coordinates of the vertex?

None