Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE ____________ PERIOD ____
Algebra Activity
(Use with Algebra 2, Lesson 6-6)
Quadratic Functions
Graph each parabola.
1. f(x) x 2 2. f(x) x 2 5 3. f(x) x 2 4
y
y
y
O
x
O
x
O
x
4. f(x) 4x 2 5. f(x) 1 4 x2 6. f(x) 6x 2
y
y
y
O
x
O
x
O
x
7. How are graphs 1, 2, and 3 similar? _________________________________________________
8. How are graphs 4, 5, and 6 similar? _________________________________________________
9. How do graphs 4 and 5 differ from graph 6? __________________________________________
__________________________________________________________________________________
10. Give the vertex and the equation for the axis of symmetry for each graph.
a. __________ ________________ b __________ ________________
vertex axis of symmetry vertex axis of symmetry
c. __________ ________________ d. __________ ________________
vertex axis of symmetry vertex axis of symmetry
e. __________ ________________ f. __________ ________________
vertex axis of symmetry vertex axis of symmetry
11. Write each equation in the form f(x) a(x h) 2 k. How do h and k
relate to the vertex and the axis of symmetry?
© Glencoe/McGraw-Hill 248 Teaching Algebra with Manipulatives