Function Transformations
Factoring
Function Notation
Systems of Equations
Logs & Inverses
100
How do you transform f(x) to reflect it over the x-axis?
-f(x)
100
Factor:
x^2+10x+21
(x+3)(x+7)
100
f(x)=-3(x+5)
Find f(7)
f(7)=-36
100
This is a graph of f(x) and g(x). What are the solution(s) to f(x)=g(x)?
x = 5.5
100
What is the inverse of
2^x?
log_2(x)
200
Describe how the graph of y=|x+3|-5 is transformed.
3 units to the left, 5 units down
200
Factor:
3x^2+6x-9
3(x-1)(x+3)
200
f(x)=-3(x+5)
Find f(-8)
f(-8)=9
200
Solve the system of equations:
y = 2x + 3
y = -8x - 7
(-1, 1)
200
What is the inverse operation of cubing?
Cube root
300
Describe how y=-6|x-1|+5 is shifted.
Reflected over the x-axis
Stretched by a factor of 6
Shifted 1 unit right
Shifted 5 units up
300
What are the x-intercepts of
24x^2+2x-1?
(-1/4,0) and (1/6,0)
300
f(x)=-3(x+5)
Find x if f(x)=12
f(-9)=12
300
Multiple answers possible: (0,0) is one of them
300
What is the inverse of
y=7*ln(x+8)-9
e^((x+9)/7)-8
400
What is the equation of this graph?
400
If
f(x)=3x+1 and f(x)*g(x)=6x^3-13x^2+7x+4,
what is g(x)?
g(x)=2x^2-5x+4
400
f(x)=x^2+4x-32
Find f(-3)
f(-3)=-35
400
At which point do the two equations f(x)=x+1 and
g(x)=2(x-1)^2+1
intersect?
(0.5, 1.5) and (2,3)
400
Solve for x:
log(3x) - log(5) = 2
500/3
500
What is the equation of this graph?
500
Factor
16x^2-81
(4x+9)(4x-9)
500
f(x)=x^2+4x-32
Find x if f(x)=-27
f(-5)=-27 and f(1)=-27
500
How would you use a graph of f(x) and g(x) to solve the equation f(x)=g(x)?
Use the x-coordinates of the intersection points
500
What is
log(-1/1000)?
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