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Parabolas - Parabolas
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Graphs of QuadraticGraphs of Quadratic Functions Functions Parabola opens upwards or downwardsParabola opens upwards or downwards Vertex (h,k)Vertex (h,k) Axis of symmetry, x = hAxis of symmetry, x = h X-intercept/sX-intercept/s Y-interceptY-intercept
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Graphs of QuadraticGraphs of Quadratic Functions Functions Parabola opens upwards or downwardsParabola opens upwards or downwards Vertex (h,k)Vertex (h,k) Axis of symmetry, x = hAxis of symmetry, x = h X-intercept/sX-intercept/s Y-interceptY-intercept
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a > 0 a < 0
Example 1 Sketch the graph ofy =^2 x -^4 x+^1. 2
V(1,-1) (0.3,0) (1.7,0) (0,1) y 2 x 4 x 1 2 Axis, x = 1
V(1,-1) (0.3,0) (1.7,0) (0,1) V(-0.25,-1.25) (0,-1) (0.31,0) (-0.81,0) y 4 x 2 x 1 2 Axis, x = -0.
Example 3 Sketch the graph ofy =-x -6x+1. 2
