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 transcript:

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

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

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

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

Graphing Vertex Form y = 2(x + 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.

Graphing Vertex Form y = 2(x + 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.

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

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

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

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

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.

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

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