9.1 quadratic functions
DESCRIPTION
9.1 Quadratic Functions. Algebra 17.0, 21.0. Main Idea & Vocab. This chapter is all about quadratics! We begin our parabola journey with the basics in this lesson. Q uadratic equation : written in the form y= a x 2 + b x + c . - PowerPoint PPT PresentationTRANSCRIPT
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9.1 Quadratic Functions
Algebra 17.0, 21.0
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Main Idea & Vocab• This chapter is all about quadratics!• We begin our parabola journey with the basics in this lesson.
• Quadratic equation: written in the form y=ax2 + bx + c.
• Parabola: the curve created when you graph a quadratic equation.
• Vertex: the center point which is the highest or lowest point of a parabola.
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Vocabulary
• DomainDomain: the set of all x values of a function.
• RangeRange: the set of all y values of a function.
• FunctionFunction: A relation where every domain value is paired with exactly one range value. One to one!
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Quadratics
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Ex 1 – Points On the GraphEx. 1: Points on Graph1)Substitute2)Solve3)Yes or No?
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Practice 1
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Ex 2 –Graphing Quadratics
• Ex. 2 Graphing1)Make a table of at
least 5 points
2) Plug in each xx to find each yy
3) Plot each point and connect with a curve
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Practice
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Ex 3- Identifying the Direction of a Parabola
• When a quadratic is written in the form y=y=aaxx22 + + bbx + x + cc, the value of a determines the direction the parabola opens!
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Practice 3
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Ex 4- Minimum & Maximum
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Ex 4- Minimum & Maximum
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Practice 4
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Example 5
• Step 1: Identify the maximum• Step 2: Find the domain and range.
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Review
• What is the standard form of a quadratic equation?
• How do you know if a point is on the curve?
• How do you graph a quadratic equation?• How do you identify the direction of a
quadratic equation?• How do you find the minimum and
maximum value of a quadratic?