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Published byShawn Flynn Modified over 9 years ago
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Sketching a Quadratic Graph Students will use equation to find the axis of symmetry, the coordinates of points at which the curve intersects the x-axis, and the coordinates of the vertex.
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Use your GDC to draw the graph. Where does it intersect the x-axis? What is the equation of its axis of symmetry? What are the coordinates of the vertex?
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You may wish to draw more graphs of functions of this form.
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i. Find the point where the graph intersects the y-axis (0,8)
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ii. The equation of the axis of symmetry
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iii. The coordinates of the vertex The vertex is at (– 3, -1)
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Finding the x-intercepts:
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iv. The coordinates of the point(s) of intersection with the x-axis The x-intercepts are at (–2, 0) and (–4, 0)
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Use the information to sketch parabola y-intercept (0, 8) Axis of Symmetry x = –3 Vertex (–3, –1) x-intercepts (–2, 0) and (–4, 0) Note a > 0, so opens up Homework: Page 156 – Exercise 4L Page 158 – Exercise 4M
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