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 function is the following?
(-2, 5)
(-1, 0)
(0, -3)
(1, -2)
(2, -3)
(3, 0)
Quadratic
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)
Which 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)= 3(2)x is transformed to f(x)= 3(2)x +4. What is the new y-intercept of this function?
(0,7)
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)= 3x given these transformations:
Reflected over x axis
Moved up 2 units
g(x)= -3x+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.