Teaching Algebra with Manipulatives

NAME ______________________________________________ DATE ____________ PERIOD ____
Mini-Project
(Use with Algebra 2, Lesson 6-1)
Parabolas
Work in small groups to complete the activity.
1. Trace the parabola given to the right onto a piece of clear acetate.
2. Using 1 -inch grid paper, place the acetate on a coordinate plane with
4
the vertex at the given point. Align the axis with a vertical line of the
grid paper. List five points that the graph contains. Complete the
equation for the graph.
a. Vertex (1, 0) b. Vertex (2, 0) c. Vertex (3, 0) d. Vertex (1, 0)
x y x y x y x y
Axis
Vertex
Algebra 2—Chapter 6
y y y y
e. Vertex (0, 2) f. Vertex (0, 4) g. Vertex (3, 1) h. Vertex (1, 2)
x y x y x y x y
y y y y
3. Based on the results above, what equation can you write for a parabola
with vertex (h, k)?
4. Based on your generalization, what rule can you write for a parabola
with vertex at (2, 3)?
© Glencoe/McGraw-Hill 243 Teaching Algebra with Manipulatives