9.2 Characteristics of Quadratic Functions

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maximum

Does this parabola have a maximum or minimum?

minimum

Does this parabola have a maximum or minimum?

maximum; the max is 1 when x = 2

Does this parabola have a maximum or minimum? What is that value?

maximum; the max is 4 when x = -2

Does this parabola have a maximum or minimum? What is that value?

minimum; the min is 0 when x = 3

Does this parabola have a maximum or minimum? What is that value?

minimum; the min is 1 when x = 2

Does this parabola have a maximum or minimum? What is that value?

maximum; the max is 3 when x=0

Does this parabola have a maximum or minimum? what is that value?

down

Does this parabola open up or down?

( 0 , 0 ) and ( -4 , 0 )

What are the roots, zeros, x-intercepts, or solutions of this function?

( 1, 0 ) and (3, 0)

What are the roots, zeros, x-intercepts, or solutions of this function?

( 3 , 0 ) - only one root

What are the roots, zeros, x-intercepts, or solutions of this function?

(-1 , 0) and (1/2 , 0)

What are the roots, zeros, x-intercepts, or solutions of this function?

none; this parabola does not cross the x-axis therefore it has no real solutions.

What are the roots, zeros, x-intercepts, or solutions of this function?

x = -2

What is the axis of symmetry?

x = 0

What is the axis of symmetry?

x = 2

What is the axis of symmetry?

x = 3

What is the axis of symmetry?

( -2 , 4 )

What is the vertex?

( 0 , 3 )

What is the vertex?

( 2 , 1 )

What is the vertex?

( 2 , 1)

What is the vertex?

( 3 , 0 )

What is the vertex?

( 0 , -1 )