Making algebra encyclopedically accessible

Algebra I Recipe: Graphing a Quadratic Equation

By K Dodd

Directions and/or Common Information:

Decide whether the following quadratic equations have graphs of parabolas that would open up or down.

y = 6 - x²

y = x² - 5

y = 3x² - 2x + 1

y = -2x² + 7x

Directions and/or Common Information:

Find the (x, y) co-ordinates of the vertex for each quadratic.

y = -x² + 6x - 1

y = 3x² - 6x + 8

Directions and/or Common Information:

Complete the following tables.

y = -3x² + 18x - 28

vertex
x
1
2
3
4
5
y
-13
?
-1
-4
?

y = 6x² - 20x + 17

vertex
x
0
1
2
3
y
?
3
?
11

Directions and/or Common Information:

Choose the correct graph for the given quadratic.

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