Mr. Sharpless’s 11 th Grade Mathematics Class Click to continue.
Post on 30-Dec-2015
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Linear
• Graphs a line• The general form
is: F(x)=mx+b• M is the slope of
the line• B is where the
line crosses the y-axis
• Practical Use: Distance travel at a constant speed
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Quadratic
• Graphs a Parabola.• Standard form:
F(x)=Ax2+Bx+C• Vertex Form: F(x)=a(x-
h)2+k• A is the Stretch of the
graph• -H is the horizontal shift• K is the Vertical shift• Practical Use: A ball
throw straight up is the air.
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Absolute Value
• Graphs a “V”• The general Form:
F(x)=a|x-h|+k• a is the stretch of
the graph• -h is horizontal shift • k is the vertical shift• Practical use:
Distance as one passes the reference point
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Polynomials
• Graphs “hills and valleys”
• Standard form: F(x)=xn+xn-
1+xn-2 … +x2+x+c
• Use Critical Points to graph this function.
• Practical Use: Falcon’s height over time.
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Square root
• Graphs half of a sideways parabola .
• F(x) = a√(b(x-h))+k• A is the stretch of
the graph • H is the horizontal
shift• K is the vertical shift• Practical Use:
Distance vs time with a decelerating car.
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Rational graph
• Graphs disconjoined curves.
• F(x)= • f(x) and g(x)
are both polynomial functions
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Sinusoids
• Graph a oscillating curve.
• F(x) = a sin(bx – c) + dor F(x) = a cos(bx – c) + d• A is the amplitude.• B is the period• C is the horizontal shift• D is the vertical shift• Practical Uses: AC
Electrical Current vs time.
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Greater Integer
• Graphs “steps”• F(x) =• A affects the
step’s spacing• B affects the
step’s length • C shifts the
graph vertically.• Practical Use:
Price of mailing a package vs weigh of package.
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Quiz
Click on the correct answer: Which function would graph an oscillating curve?
A) F(x) = (X2 +1)/xB) F(x) = Sin (2x)C) F(x) = X + 4D)F(x) = |x - 3| + 4
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