Linear
What is the parent function for linear equations?
y=x or f(x)=x
What is the parent function for the quadratic functions?
y=x2 or f(x)= x2
What is the y intercept of the exponential parent function f(x)= 2x?
The y intercept is located at (0,1) or 1.
What type of sequence is the following?
4,8,16,32,64
Geometric
What is the domain of all linear functions?
All real numbers
(-infinity, infinity)
Describe the transformation from f(x) to g(x):
f(x) = 3x+4
g(x)= -3x+4
Reflection over x axis
Describe the transformation from the graph of f(x) to g(x):
f(x)= x2
g(x)= (x-1)2
Shift 1 unit right
Describe the transformations from the graph of f(x) to g(x).
f(x)= (2)x
g(x)= -(2)x-4
Shift 4 units right
Reflected over x axis
What is the growth factor of the following:
f(x)= 12000(1.35)x
1.35
What is the range of all linear functions?
(-infinity, infinity)
Describe the transformation from the graph f(x) to g(x):
f(x)= x-4
g(x)= x+3
shift up 7 units
Describe the transformation from f(x) to g(x):
f(x)= (x-2)2 + 5
g(x)= (x-6)2 - 1
Shift right 4 units
Shift down 6 units
Describe the transformation from the graph of f(x) to g(x).
f(x)= 3x + 2
g(x)= 3x - 7
Shift down 9 units
What is the vertex of the following quadratic function:
f(x)= (x+1)2-9
(-1,-9)
2Which function has the same range as f(x)= (x+1)2+5 ?
A. a(x) = 5x
B. b(x) = (2)x+5
C. c(x) = x2 + 5
D. d(x) = -5x2
C. c(x)= x2 + 5
Describe the transformations from the graph of f(x) to g(x):
f(x)= x+4
g(x)= -2x+7
Reflected over x axis
Stretch by 2
Shifted up 3 units
The quadratic function f(x)= x2 is transformed into f(x)= 1/2 (x-3)2 + 4. What is the new vertex of the parabola?
(3,-4)
The exponential function f(x)= 2x is transformed to f(x)= 3(2)x-2. What is the new y-intercept of this function?
(0,3/4)
or (0,0.75)
Which of the following has the greatest rate of change?
a. linear function
b. quadratic function
c. exponential function
c. exponential function
Which function has the same range as f(x)= 4(0.5)x-1?
a. a(x)= 0.5(0.5)x+4
b. b(x)= 6(3)x-9
c. c(x)= 2(2)x-1
c. c(x)= 2(2)x-1
Write the new equation for f(x)= 2x given these transformations:
Reflected over x axis
Stretched twice as much
Moved up 2 units
g(x)= -4x+2
Write the new equation for f(x)= x2 given these transformations:
Stretch of 3
Moved left 2 units
Moved down 4 units
f(x)= 3(x+2)2-4
Write the new equation for f(x)= (2)x given these transformations:
Reflected over x axis
Moved right 3 units
Moved up 2 units
g(x) = -(2)x-3+2
What transformation does this describe?
f(x-5)
Shifted right 5 units
Which statement is true?
a. The domain of all linear, quadratic, and exponential functions are the same.
b. All exponential functions have a larger range than linear functions.
c. The range of all exponential functions is all real numbers.
a. The domain of all linear, quadratic, and exponential functions are the same.