Horizontal shift
What is the effect of the function g(x)=f(x-3) compared to f(x)=x?
3 units right
***DOUBLE JEOPARDY***
What is the result of shifting the graph of f(x)=x2 upwards by 3 units?
g(x)=x2+3
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)+3
horizontal shift 2 units rights
vertical shift 3 units up
***DOUBLE JEOPARDY***
f(x) = 3x
vertically stretched by a factor of 3
how does the graph of g(x)=f(x+4) differ from the graph f(x)=x?
shift 3 units left
How does the graph of f(x)=x change when transformed to g(x)=x-4
shift 4 units down
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
***DOUBLE JEOPARDY***
Describe the transformation represented by:
f(x)=-(x+1)+4
reflection over x-axis
horizontal shift 1 unit left
vertical shift 4 units up
f(x) = (x + 7)
Left 7
Describe the transformation of the graph when the function is modified to g(x)=f(x+1)
horizontal shift 1 unit left
Explain how the function f(x)=-x3+5 transformed compared to g(x)=-x3?
vertical shift 5 units up
***DOUBLE JEOPARDY***
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 g(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
f(x) = x - 298
Down 298 units
If f(x)=x is shifted 5 units to the left, what is the new function?
g(x)=f(x+5)
What transformation occurs to the graph of f(x)=|x| when its changed to g(x)=|x|-5?
vertical shift 5 units down
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
f(x)= (x+6)+3
Left 6, Up 3
What happens to the graph of f(x)=x when it is transformed to g(x)=f(x-2)?
horizontal shift 2 right
If you have f(x)=ex, what happens to the equation when it's shifted 2 units up?
g(x)=ex+2
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 g(x)=.99(-x+3)+6 and describe the transformations compared to f(x)=x?
vertically compressed by a factor of .99
reflection over y-axis
horizontal shift 3 units left
vertical shift 6 units up
f(x) = -(x+3) -527
reflected across the x-axis, moved left 3 units, and moved down 527 units