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Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)

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Presentation on theme: "Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)"— Presentation transcript:

1 Graphing Quadratics in Vertex and Intercept Form Vertex Form y = a(x – h) 2 + k Intercept Form y = a(x – p)(x – q)

2 Vertex Form y = a(x – h) 2 + k vertex:( h, k ) axis of symmetry:x = h

3 Graphing Vertex Form y = 2(x + 1) 2 + 2

4 Graphing Vertex Form y = 2(x + 1) 2 + 2 1.Graph the vertex and axis of symmetry.

5 Graphing Vertex Form y = 2(x + 1) 2 + 2 1.Graph the vertex and axis of symmetry. 2.Pick a value for x, solve for y, and plot the point. Then reflect it over the axis of symmetry.

6 Graphing Vertex Form y = 2(x + 1) 2 + 2 1.Graph the vertex and axis of symmetry. 2.Pick a value for x, solve for y, and plot the point. Then reflect it over the axis of symmetry. 3.Draw in the parabola.

7 Intercept Form y = a(x – p)(x – q) x-intercepts:( p, 0 ) and ( q, 0 ) axis of symmetry: vertex:x-coordinate same as axis of symmetry, plug in and solve for y

8 Graphing Intercept Form y = -(x + 3)(x – 1)

9 Graphing Intercept Form y = -(x + 3)(x – 1) 1.Plot the two x-intercepts.

10 Graphing Intercept Form y = -(x + 3)(x – 1) 1.Plot the two x-intercepts. 2.Graph the vertex and axis of symmetry.

11 Graphing Intercept Form y = -(x + 3)(x – 1) 1.Plot the two x-intercepts. 2.Graph the vertex and axis of symmetry. 3.Draw in the parabola.

12 Practice Graph the parabola. y = -(x – 1) 2 + 2

13 Practice Graph the parabola. y = 2(x – 1)(x + 1)


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