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Published byPhyllis Palmer Modified over 9 years ago
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Sketching a Quadratic Graph SWBAT 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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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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Sketching Quadratic Graphs Sketch the graph of a parabola with vertex (1, 2) and range y ≥ 2 Draw and label the axes. Draw a smooth curve through the point (1, 2). Use a vertical line to show the range (y ≥ 2) of the function on the y-axis Plot and label the vertex (1, 2) The curve is symmetrical about the vertical line, that is, x = 1 Is the parabola shown the only one that satisfies the information given? If not how many are there?
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Sketching Quadratic Graphs Sketch the graph of a parabola with x-intercepts at x = -2 and x = 3 and y-intercept at y = -1. Draw and label the axes. Mark the x-intercepts at (-2, 0) and (3, 0). Draw it in (use a dashed line) Mark the y-intercept at (0, -1) Draw a smooth curve through the marked points
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Sketching Quadratic Graphs If you are given the function, use you GDC to draw the graph and then copy the information onto a sketch If you are not given the function, use the information you are given and what you know about quadratic curves, that is: They are u-shaped or n-shaped. They have an axis of symmetry that passes through the vertex. Homework: Page 154 – Exercise 4J Page 159 – Exercise 4N
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