Chapter 4.2 Graphs of Quadratics in Vertex or Intercept Form.

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Presentation transcript:

Chapter 4.2 Graphs of Quadratics in Vertex or Intercept Form

Quadratic Functions Quadratic Functions all contain an x² term Parent Function Axis of Symmetry – Divides the graph into mirror images Vertex – Lowest or highest point on the graph

Vertex Form Vocab h is the horizontal shift k is the vertical shift a determines up/down orientation and fat/skinny parabolas. Vertex is at the point (h,k)

Graph: 1.Identify a, h & k 2.Plot vertex & line of symmetry 3.Pick a value to the left of your x valuePlot point & Reflect across axis of symm. 4.Sketch curve.

geogebra 4.2 hk

Steps for ploting 1.Identify a, h & k 2.Plot vertex & line of symmetry 3.Pick a x value to the left of your vertex and Plot the point. 4. Reflect across axis of symm. 5.Sketch curve.

Y X 1.Identify a, h & k 2.Plot vertex & line of symmetry 3.Pick a value to the left of your x valuePlot point & Reflect across axis of symm. 4.Sketch curve.

Y X 1.Identify a, h & k 2.Plot vertex & line of symmetry 3.Pick a value to the left of your x valuePlot point & Reflect across axis of symm. 4.Sketch curve.

Intercept Form x-intercepts are at (p,0) & (q,0) Axis of symmetry is halfway between p&q. a determines up/down orientation and fat/skinny parabolas.

geogebra 4.2 pq

Graph: 1.Identify & plot the intercepts. 2.Find the axis of plug in and find y then. Plot the vertex. 3.Sketch the graph

Y X 1.Identify & plot the intercepts. 2.Find the axis of plug in and find y then. Plot the vertex. 3.Sketch the graph

Y X 1.Identify & plot the intercepts. 2.Find the axis of plug in and find y then. Plot the vertex. 3.Sketch the graph

Graph Y X

Y X 1.Identify a, h & k 2.Plot vertex & line of symmetry 3.Pick a value to the left of your x valuePlot point & Reflect across axis of symm. 4.Sketch curve.

Y X Questions?

Assignment p , 13-21, just graph, don’t follow the directions