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Chapter 10
Parabolas
13
Mathematics
9th Grade
04/03/2006

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Cards

Term
Given y=ax^2, what happens to the graph when a>1?
Definition
Stretch - graph gets longer and skinner
Term
Given y=ax^2, what happens to the graph when a<0?
Definition
Means "a" is a negative number and the
Parabola flips.
Term
What shape do you get when you graph y=x^2?
Definition
Parabola - U shaped graph
Term
What shape do you get when you graph y=abs x?
Definition
V - shaped graph
Term
Given the parent graph of y=ax^2, what happens to the graph when y=(x+h)^2?
Definition
Parabola moves "h" units to the left on the x-axis
Term
Given the parent graph of y = ax^2, what happens to the graph when
y = (x - h)^2?
Definition
Parabola moves "h" units to the right on the x-axis
Term
Given the parent graph of y = ax^2, what happens to the graph when
y = x^2 + k?
Definition
Parabola moves "k" units up on the y-axis
Term
Given the parent graph of y = ax^2, what happens to the graph when
y = x^2 - k
Definition
Parabola moves "k" units down on the y-axis
Term
When does a parabola have a maximum?
What is the maximum value?
Definition
When a>0, or when a is positive.
At (0, k)
Term
When does a parabola have a minimum?
What is the Minimum value?
Definition
When a<0, or a is negative.
At (0, k)
Term
What is the vertex of

y = a(x - h)^2 + k?
Definition
(h, k)
Term
When is a quadratic equation in vertex form?
Definition
y = a(x - h)^2 + k?
Term
Given y=ax^2, what happens to the graph when a<1?
Definition
Compression - graph gets "fatter"/wider

a<1 is usually a "fraction"
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