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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 on theme: "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."— Presentation transcript:

1 Graphing Quadratics Algebra 1 Section 9.1

2 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??

3 Together!

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

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

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

7 Additional Practice!

8 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!

9 Together!

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

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

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

13 Additional Practice!

14 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!

15 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!

16 Together!

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

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

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

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


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