Characteristics of Graph
Piecewise Functions
Transformations
Characteristics of Quadratic Equations
Miscellaneous
100
What is the y - intercept?
(0,7)
100
What is f(-1)?
f(-1) = 1
100
How is the graph g(x)= |x| +3 related to the graph f(x) = |x| ?
g(x) is translated 3 units up from f(x)
100
Does the following have a minimum or a maximum point?
f(x) = 3x2+2x+1
minimum
100
What is the vertex of the following?
y = (x+2)2 + 2
(-2, 2)
200
What is the x intercept(s)?
(-7,0) & (1,0)
200
What is f(2)?
f(2) = 3
200
The quadratic parent function f(x) = x2 was transformed to g(x) = -3x2. Describe this transformation.
Reflection across the x - axis and stretched
200
What are the roots of the equation
y = (x+2) (x-5)
(-2,0) (5,0)
200
Describe the following transformation g(x) = 2|x+4| from the parent function f(x) = |x|
stretched and moved left 4
300
Name the vertex AND axis of symmetry 
V = (-1,-1) & x=-1
300
Find f(2) 
f(2) = 3
300
f(x) is dark blue. g(x) is light blue.
If a student correctly writes the function g(x) = f(x) + k, what is the value of k?
k = 6
300
What is the vertex of the quadratic?
y = (x+3)2-4
V = (-3, -4)
300
What could be the equation for the following?
a. x2
b. |x|
c. mx+b
x2
400
What is the domain and range of the graph?
D = (-infinity, infinity) & R = (1, infinity)
400
f(x) = x + 2 if x < 0
f(x) = 3x - 3 if x > 0
Find f(1)
f(1) = 0
400
How is the graph g(x) = 2f(x-4) related to the graph of f(x)?
It is stretched by a factor of 2 and translated right 4
400
What is the y intercept?
f(x) = x2 +6x+1
(0,1)
400
Write an equation for the following
y = |x-3|-2
500
Does this graph have a maximum or minimum? What is the vertex? X intercepts? Y intercepts?
minimum, v = (2, -1), x int = (1,0) & (3,0), y int = (0,3)
500
Find f(-2)
f(-2) = 6
500
Write an equation for this graph.
f(x) = -|x+2|+3
500
What is the vertex and axis of symmetry?
f(x) = x2+6x+1
(-3, -8) x = -3
500
Find the vertex of the following
y = 2x2+4x-3
(-1,-9)