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9.1: GRAPHING QUADRATICS ALGEBRA 1. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form.

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Presentation on theme: "9.1: GRAPHING QUADRATICS ALGEBRA 1. OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form."— Presentation transcript:

1 9.1: GRAPHING QUADRATICS ALGEBRA 1

2 OBJECTIVES I will be able to graph quadratics: Given in Standard Form Given in Vertex Form Given in Intercept Form What does the graph of a quadratic look like? https://www.desmos.com/calculator

3 WHAT CAN I FIND FROM MY GRAPH?

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5 Y-Intercept: The point where the parabola crosses the ‘y’ axis. This can be found by substituting a 0 in for ‘x’. Minimum: If lead coefficient is + (Parabola Opens Upward) then vertex is at BOTTOM. This is a minimum! Maximum: If lead coefficient is - (Parabola Opens Downward) then vertex is at TOP. This is a maximum! Domain: All ‘x’ Values Range: All ‘y’ Values Number of Solutions: This is based on # of time the Parabola CROSSES the ‘x’ axis

6 HOW DO I GRAPH IN STANDARD FORM? xa.o.s. y

7 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

8 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

9 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

10 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

11 HOW DO I GRAPH IN VERTEX FORM? x y

12 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

13 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

14 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

15 What is the vertex? What is the equation for the axis of symmetry? Is the vertex a maximum or a minimum? What are the Domain and Range? How many solutions does the equation produce?

16 HOW DO I GRAPH IN INTERCEPT FORM?

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21 HOMEWORK


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