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20 Cards in this Set
- Front
- Back
- 3rd side (hint)
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f(x)= x is a
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Linear function
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f(x)= /x/ is a
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absolute value function
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f(x) = x2 (x squared) is a
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quadratic function
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f(x) =-x2 means the parabola will shift
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down because of the negative
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transformations
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making the parent graph look different
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f (x)= x
f (x) =/x/ f (x)= x2 are all |
parent graphs
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Describe the 4 characteristics of a quadratic
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u shape
parabola continuous data parent graph |
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x intercept crosses the x axis at O for
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parent graphs of quadratic, linear, and absolute value graphs
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Zero roots are the same things
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as x intercepts. It only deals with the x axis
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domain
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all real numbers in the functions. Any number will work for quadratics, linear, and absolute value
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range for the parent graph of a quadratic
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y is greater than or equal to 0 and the y intercept is 0
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Another way to write all real numbers
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negative infinity, postive infinity symbol
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Another way to write that y is greater than or equal to 0 for the range of a quadratic
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(0, positive infinity symbol)
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For quadratics-Intervals of increase/decrease
What is this? |
as x moves from negative infinity to 0 the graph decreases
as x moves from 0 to negative infinity the graph increases |
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For quadratics:as x moves from negative infinity to 0
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decrease
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For quadratics:as x moves from 0 to positive infinity
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increase
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End behavior of a parabola
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x approaches to negative infinity, our function approaches positive infinity
As x approaches/moves toward the positive infinity our function approaches positive infinity |
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y=f(x)
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y and f(x) can be used interchangeably
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quadratic
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same thing as parabola
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Does the parent graph of a quadratic have a maximum or minumum?
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minimum is (0,0)
maximum is positive infinity |
the parent graph
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