WorksheetsTransform Graphs of Functions
Total questions: 20
Worksheet time: 31mins
What does the equation
g(x) = f(x)−4 do to the graph of f(x)?Shifts the graph left four units
Shifts the graph right four units
Shifts the graph up four units
Shifts the graph down four units
Which transformation on
f(x) = x
is g(x) = -f(x)
Reflection across the y-axis
The slope will be less steep
The graph will be wider
Reflection across the x-axis.
The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation.
g(x) is shifted up 6 units
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is shifted right 6 units
The linear parent function, f(x) = x, is transformed to g(x) = f(x + 3). Describe the transformation.
g(x) is shifted up 3 units
g(x) is shifted down 3 units
g(x) is shifted left 3 units
g(x) is shifted right 3 units
The linear parent function, f(x) = x, is transformed to g(x) = f(x - 6). Describe the transformation.
g(x) is shifted up 6 units
g(x) is shifted down 6 units
g(x) is shifted left 6 units
g(x) is shifted right 6 units
vertical stretch factor 2 and translate up 3
vertical stretch factor 2 and translate left 3
vertical stretch factor 2 and translate down 3
translate right 2 and up three
reflect over x axis and vertical stretch by 2.
reflect over y axis and vertical stretch by 2.
reflect over x axis and horizontal stretch by 2.
reflect over y axis and horizontal stretch by 1/2.
translate six right and 7 up
translate six left and 7 up
translate six right and 7 down
translate six left and 7 down
If the blue line is f(x), what does the red dotted line represent?
f(x+1)
f(x-1)
f(x)+1
f(x)-1
If the blue line is f(x), what does the red dotted line represent?
f(x+1)
f(x-1)
f(x)+1
f(x)-1
If the blue line is f(x), what does the red dotted line represent?
f(x+1)
f(x-1)
f(x)+1
f(x)-1
If the blue line is f(x), what does the red dotted line represent?
f(x+1)
f(x-1)
f(x)+1
f(x)-1
If the blue line is f(x), what does the red dotted line represent?
f(2x)
f(0.5x)
2f(x)
f(x)÷2
g(x) = f(x + 4) + 7
g(x) = f(x - 4) + 7
g(x) = f(x + 7) - 4
g(x) = f(x + 4) - 7
Write a function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units
f(x) = g(2x + 1) - 9
f(x) = g(2x - 1) - 9
f(x) = 2g(x + 1) - 9
f(x) = 2g(x - 1) - 9
A function f(x) is reflected over the x-axis and vertically stretched by a multiple of 3. What is the transformed function g(x)?
The graph of f(x) is compressed horizontally by a factor of 1/6 and translated 7 units up. What is the transformed function g(x)?
The graph of f(x) is translated 4 units left and 2 units up. What is the transformed function g(x)?
The graph of f(x) is compressed vertically by 1/8 and shifted 1 unit up. Write the transformed function g(x).
