Graphing Quadratics Algebra 1 Section 9.1. Standard Form ax 2 + bx + c STEPS  Find the x-coordinate of the vertex (a.k.a. AOS).  Plug in the x-value.

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Presentation transcript:

Graphing Quadratics Algebra 1 Section 9.1

Standard Form ax 2 + bx + c STEPS  Find the x-coordinate of the vertex (a.k.a. AOS).  Plug in the x-value to find its corresponding y-value.  Fill out a table of values… (Start with the AOS in the middle, then choose two values on each side).  Find the y-intercept.  Plot all of the points on your graph! Extra Notes! Any other important information you want to keep in mind??

Together!

Practice #1 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ Solutions: _____________

Practice #2 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ Solutions: _____________

Practice #3 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ Solutions: _____________

Additional Practice!

Vertex Form a(x-h) 2 + k STEPS  Find the vertex.  Fill out a table of values… (Start with the AOS in the middle, then choose two values on each side).  Find the y-intercept.  Plot all of the points (you should have at least 5) on your graph!

Together!

Practice #1 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________# of Solutions: _____________

Practice #2 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________# of Solutions: _____________

Practice #3 Axis of Symmetry: _____________ Vertex: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________# of Solutions: _____________

Additional Practice!

Review: Class Quiz! For each problem, you will have: – 5 minutes to work by yourself. – 5 minutes to work with your small groups. – 3 minutes to elect one person in the class to present on the front board. Good Luck!

Intercept Form (x-p)(x-q) STEPS  Find the intercepts.  Find the x-coordinate of the vertex.  Find the y-coordinate.  Find two other points.  Graph!

Together!

Practice #1 Vertex: _____________ Axis of Symmetry: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ # of Solutions: _____________

Practice #2 Vertex: _____________ Axis of Symmetry: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ # of Solutions: _____________

Practice #3 Vertex: _____________ Axis of Symmetry: _____________ Y-Intercept: _____________ Domain: _____________ Range: _____________ # of Solutions: _____________

Additional Practice! Find the number of solutions shown on the following graphs. If possible, list the coordinates of each solution.