OPEN UP HS MATH: MATH II
NAME DATE PERIOD
Lesson 1: Transformers: Shifty y’s
Develop Understanding
Ready
Make a point on the vertex, and draw a dotted line for the line of symmetry. Label the coordinates of
the vertex, and state whether it’s a maximum or a minimum. Write the equation for the line of
symmetry.
1. y
2.
10 y
5
5
x x
–5 0 5 0 5
3. 4. y
y
5
x
x
–5 0
–5 0 5
Unit 2: Structures of Quadratic Expressions 1 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
5. 5 6. y
y 5
x x
0 5 –5 0 5
–5
–5
7. What connection exists between the coordinates of the vertex and the equation of the axis
of symmetry?
8. The line of symmetry of a parabola is not always located on an easy-to-read point or line.
Consider the parabola shown, and explain how you could find the line of symmetry.
x
–10 –5 0 5
–5
Unit 2: Structures of Quadratic Expressions 2 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
9. How many -intercepts are possible for a parabola?
10. Sketch a parabola that has no -intercepts, and explain what would cause a parabola to
not have any -intercepts.
Set
For problems 11–14, the table of values and graph for the quadratic parent function, , is
provided. Compare the values in the table for in each question to those for . Identify what
stays the same and what changes.
11.
Unit 2: Structures of Quadratic Expressions 3 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
a. Write the equation of . b. Graph on the same grid as .
10 y
x
–10 –5 0 5 10
–5
–10
c. How is the graph of different than the graph of ?
12.
Unit 2: Structures of Quadratic Expressions 4 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
a. Write the equation of . b. Graph on the same grid as .
10 y
x
–10 –5 0 5 10
–5
–10
c. How is the graph of different than the graph of ?
13.
Unit 2: Structures of Quadratic Expressions 5 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
a. Write the equation of . b. Graph on the same grid as .
10 y
x
–10 –5 0 5 10
–5
–10
c. How is the graph of different than the graph of ?
14.
Unit 2: Structures of Quadratic Expressions 6 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
a. Write the equation of . b. Graph on the same grid as .
10 y
x
–10 –5 0 5 10
–5
–10
c. How is the graph of different than the graph of ?
Go
Graph each of the linear equations.
15. 16.
Unit 2: Structures of Quadratic Expressions 7 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
OPEN UP HS MATH: MATH II
NAME DATE PERIOD
17. 18.
19. 20.
21. Linear equations can be written in different forms. Describe how to quickly graph a linear
equation based on the form in which it is written.
a. slope-intercept form: b. point-slope form:
c. standard form:
Unit 2: Structures of Quadratic Expressions 8 of 8
© 2021 Open Up Resources and Mathematics Vision Project.
