9.2 Characteristics of Quadratic Functions
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?
up
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 )
What is the y-intercept of this function?
( 0 , -12 )
What is the y-intercept of this function?
( 0 , -3)
What is the y-intercept of this function?
( 0 , 0 )
What is the y-intercept of this function?
( 0 , 3 )
What is the y-intercept of this function?
( 0 , 4 )
What is the y-intercept of this function?
( 0, 4 )
What is the y-intercept of this function?