Graphs
Using the Graph to...
Min or Max
Up or Down
Up or Down
Absolute Value
Use the function to find the y-coordinate if...
100
What shape is the graph of an absolute value function?
a V
100
Give the y-intercept of the quadratic function
3
100
Will the parabola open up or down?
x^2 - 4x - 1
up
100
Find the vertex: |x| -1
(0, -1)
100
Given x = -1
f(x) =
-x^2 - 3x + 2
f(x) = 4
200
What shape is the graph of a quadratic function?
a parabola (U)
200
Give the roots of the parabola
{-2, 2}
200
Will the parabola have a minimum or a maximum as its vertex?
x^2 - 4x - 1
minimum
200
Will the graph open up or down?
-|x + 1| + 3
down (negative outside the bars)
200
Given x = 4
f(x) =
x^2 - 2x - 3
f(x) = 5
300
Where can you find the y-intercept on each graph?
It is where the graph hits the y-axis
300
What do you know about the leading coefficient based on this parabola?
It is negative
300
Will the parabola open up or down?
-3x^2 + 2x + 5
down
300
Find the vertex: |x - 4| + 2
(4, 2)
300
Given x = -5
f(x) =
-|x + 1| - 2
f(x) = -6
400
Where do you find the roots of a quadratic function?
Where the parabola crosses the x-axis
400
What is the axis of symmetry for the parabola shown:
x = 3
400
Will the parabola have a minimum or a maximum?
1/2x^2 + 2x - 8
minimum
400
Find the vertex: f(x) = |2x + 4|+ 3
(-2, 3)
400
Given x = 4
f(x) =
1/2x^2 + 3
f(x) = 11
500
How do you find the axis of symmetry for the parabola?
It is the line that goes through the vertex
It is always x = (the x-coordinate of the vertex)
500
What are the roots of the parabola?
{-1, 7}
500
From an equation, how can you tell if the parabola will open up or down?
By the leading coefficient: if it is positive the parabola will open up and if it is negative the parabola will open down
500
Give the absolute value function based on the graph:
f(x) = |x - 3| - 1
500
Given x = 6
f(x) =
-1/3x^2 - 2x + 1
f(x) = -23