Math 212 Graphing Parabolas Name:________________________ Find the y intercept, the x intercepts, the vertex, the equation of the axis of symmetry then graph the equation of the parabola y = p(x). 1. a) The y intercept Substitute x = 0 into y = p(x), then find y. b) The x intercept Substitute y = 0 into y = p(x), then solve for x by factoring. c) The vertex The x coordinate of the vertex is average of the two x intercepts. Find the y-coordinate of the vertex by evaluating p(x) at the x-coordinate of the vertex d) Use the axis of symmetry to find a point on the graph of the parabola with the same y-coordinate as the y intercept 2. a) The y intercept Substitute x = 0 into y = p(x), then find y. b) The x intercept Substitute y = 0 into y = p(x), then solve for x by factoring. c) The vertex The x coordinate of the vertex is average of the two x intercepts. Find the y-coordinate of the vertex by evaluating p(x) at the x-coordinate of the vertex d) Use the axis of symmetry to find a point on the graph of the parabola with the same y-coordinate as the y intercept

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