2.2 Quadratic Functions Worksheet With Answers
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62.2: Quadratic Functions
A quadratic function is a function of the form
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y = ax
+ bx + c, where a, b, and c are real numbers and a≠0.
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It can also be written in the form y = a(x h)
+k, where (h, k) is the vertex. Recall that
"a" determines whether or not the parabola is reflected across the xaxis, and whether or
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not it is vertically stretched or compressed from the basic y = x
parabola.
Every quadratic function has a vertex, an axis of symmetry (which is a vertical line
through the vertex), and a yintercept.
It may have 0, 1, or 2 xintercepts.
Note: The axis of symmetry is the vertical line x = h, where h is the xcoordinate
of the vertex.
Determine the vertex of each quadratic function below and sketch its graph.
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1) y = 2(x 3)
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2) y = 1(x + 2)
+ 3
3) y = 1/2 x
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