Term
How do you shift the graph
f(x)=(x^2)
"A" units Left
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Definition
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How do you shift the graph
f(x)=(x^2)
"A" units Right
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Definition
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Term
How do you reflect the graph
f(x)=(x^2)
Over the x-axis
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Definition
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Term
How do you stretch the graph
f(x)=(x^2)
"A" units
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Definition
f(x)=A(x^2)
Plot the point, not the vertex on "A"
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Term
In this problem
f(x)=a((x-h)^2)+k
What is "h"?
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Definition
The x-value of the vertex
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Term
In this problem
f(x)=a((x-h)^2)+k
What is "k"?
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Definition
The y-value of the vertex
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Term
In this problem
f(x)=a((x-h)^2)+k
How do you solve for "a"?
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Definition
1.)Plug in the values for "h" and "k"
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2.)Choose one point on the graph that is not the vertex.
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3.)Plug in the "x" value of that point in for "x".
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4.)Replace f(x), with the y-value of that point.
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5.)Solve for "a"
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Term
In this problem
f(x)=a((x-h)^2)+k
What do you do once you know the "h", "k", and "a" values when trying to complete the quadratic function form?
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Definition
Plug them all in, leaving "x" as a variable
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Term
What is the standard form of this equation?
y=ax^2+bx
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Definition
((x+(b/2a))^2)-((b/2a)^2)
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Term
What is the axis of symmetry?
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Definition
The x-value of the vertex
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Term
How do you find the x-intercepts?
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Definition
They are the "x" values on the points where the graph crosses the "x" axis
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Term
How do you find the y-intercepts?
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Definition
Make "x" equal 0 in the original equation of the form:
y=(ax^2)+bx
And solve for "y"
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Term
How do you find the minimum value using the graph?
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Definition
It is the y-value of the vertex
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Term
How do you find the minimum value of a function in this form:
f(x)=(ax^2)-bx+c
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Definition
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Term
What is the range of a function of this form?
f(x)=(ax^2)-bx+c
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Definition
[((b/2a)^2),Infinity)
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