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Graphing Changing A and C
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Table of Contents Pg Title Vocab Matching Activity LI/SC
Graphing Parabola Notes
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Learning Intention/Success Criteria
LI: We are learning how “a” and ”c” affect the shape of a parabola SC: I know how to -recognize the graph of a quadratic function is a parabola -sketch a graph of a quadratic function -write the symbolic representation of a quadratic function -graph the parent function, f(x) = x2 -analyze how the coefficient, a, affects the shape of parabolic graphs -analyze how the y-intercept, c, affects the shape of parabolic graphs
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Example 1: Graph the parent function of a quadratic
f(x) = x2 f(x) = x2 f(x) = x2 = x * x x Work f(x) -3 -3 * -3 9 -2 -2 * -2 4 -1 -1 * -1 1 0 * 0 1 1 * 1 1 2 2 * 2 4 3 3 * 3 9
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What observations can you make from the table?
x f(x) -3 9 -2 4 -1 1 2 3 What observations can you make from the table?
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x f(x) -3 9 -2 4 -1 1 2 3 Vertex: (0, 0) Axis of Symmetry: x = 0
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What observations can you make regarding the vertex?
What observations can you make regarding the axis of symmetry?
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YOUR CHOICE…
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how “a” affects … move to the left side
Are you more interested in seeing how “a” affects a parabola or how “c” affects a parabola? how “a” affects … move to the left side how “c” affects … move to the right side
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As your group, work on your worksheet
When finished with your worksheet, what do you notice about how the graph has changed shape?
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