Vertex Form Of A Quadratic Equation Worksheet With Answers
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3Vertex Form of a Quadratic Equation
Example 1
Graph a Quadratic Equation in Vertex Form
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Analyze y = (x – 3)
– 2. Then draw its graph.
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This function can be rewritten as y = [x – (3)]
– 2. Then h = 3 and k = –2.
The vertex is at (h, k) or (3, –2), and the axis of symmetry is x = 3. The graph has the same shape as the
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graph of y = x
translated 3 units right and 2 units down. Now use this information to draw the graph.
Step 1
Plot the vertex, (3, –2).
Step 2
Draw the axis of symmetry,
x = 3.
Step 3
Use symmetry to complete the
graph.
Example 2
Vertex Form Parameters
Which function has the narrowest graph?
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A y = -3.5x
B y = -0.2x
C y = 1.5x
D y = 6x
Read the Test Item
You are given four answer choices, each of which is in vertex form.
Solve the Test Item
The value of a determines the width of the graph. Since |-3.5| > 1, A, C and D produce graphs that are
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narrower than y = x
. Which has the largest value? D is the largest. The answer is D.
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