Horizontal shift
What is the effect of the function f(x)=(x-3)2 compared to f(x)=x2?
3 units right
What is the result of shifting the graph of f(x)=x2 upwards by 3 units?
f(x)=x2+3
What does the function f(x)=-x2 indicate about the reflection of f(x)=x2?
across x-axis
How does the function f(x)=2x2 transform the graph of f(x)=x2
stretch by factor of 2
What are the transformations represented by f(x)=(x-2)2+3
horizontal shift 2 units rights
vertical shift 3 units up
how does the graph of f(x)=(x+4)3 differ from the graph f(x)=x3?
shift 3 units left
How does the graph of f(x)=log(x) change when transformed to f(x)=log(x)-4
shift 4 units down
how does f(x)=(-x)3 reflect the graph of f(x)=x3?
reflect across y-axis
What is the effect of the graph of f(x)=1/2|x| compared to the absolute value of x?
compressed by a factor of 1/2
describe the transformation represented by f(x)=-sqrt(x+1)+4
reflection over x-axis
horizontal shift 1 unit left
vertical shift 4 units up
DEscribe the transformation of the graph when the function is modified to f(x)=(x+1)2
horizontal shift 1 unit left
Explain how the function f(x)=-x3+5 transformed compared to f(x)=-x3?
vertical shift 5 units up
What transformation occurs when you change f(x)=|x| to f(x)=-|x|?
reflection over x-axis
Explain how the function of f(x)=3|x| stretches to the graph of y=|x|
stretched vertically by a factor of 3
How does the function f(x)=2|x-1|+1 change from the graph of f(x)=|x|?
vertical stretch by factor of 2
horizontal right 1 unit right
vertical shift 1 unit up
If f(x)=|x| is shifted 5 units to the left, what is the new function?
f(x)=|x+5|
What transformation occurs to the graph of f(x)=|x| when its changed to f(x)=|x|-5?
vertical shift 5 units down
Describe the reflection of the graph of f(x)=sqrt(x) when transformed to f(x)=-sqrt(x)
reflection over x-axis
What happens to the graph of f(x)=1/3x3 compared to x3?
compressed by a factor of 1/3
What transformations are applied to the function when its changed to
f(x)=-3(x-2)-5
reflection over x-axis
vertically stretch by factor of 3
horizontal shift 2 units right
vertical shift 5 units down
What happens to the graph of f(x)= sqrt(x)when it is transformed to f(x)=sqrt(x-2)
horizontal shift 2 right
If you have f(x)=ex, what happens to the eqation when it's shifted 2 units up?
f(x)=ex+2
What is/are the effect(s) of the graph if the initial function is f(x)=-x2 to
f(x)=-(-x)2
reflection over y-axis
If f(x)=2x is stretched by a factor of 3, what is the new function that represents this transformation
f(x)=6x
Analyze the function f(x)=.99(-x+3)3+6 and describe the transformations compared to a cubic function?
vertically compressed by a factor of .99
reflection over y-axis
horizontal shift 3 units left
vertical shift 6 units up