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WorksheetsLogarithmic Transformations
Total questions: 14
Worksheet time: 1hrs 10mins
Select all the transformations that apply.
y = -2 log 1/2 x
Vertical stretch by 2
Vertical shrink by 1/2
Reflection across the y-axis
Reflection across the x-axis
Describe the graph of f(x) = log x changed to
f(x) = 3log(x + 1) - 5
vertical stretch by 3 and shift right 1 and 5 units down
vertical stretch by 3 and shift left 1 and 5 units down
vertical compress by 3 and shift right 1 and 5 units down
vertical compress by 3 and shift left 1 and 5 units down
Select all the transformations that apply.
y = log 5 (x + 1) +1
Horizontal shift left 1
Horizontal shift right 1
Vertical shift up 1
Vertical shift down 1
f(x) = log2(x)
R: y > 0
Range: all real numbers
Range: all real numbers
Range: y < 0
The asymptote of y = log2(x + 2) will shift...
right two to x = 2
left two to x = -2
not shift and remain x = 0
The asymptote of y = log2x + 1 will shift...
right one to x = 1
left one to x = -1
not shift at all and remain x = 0
Describe the transformations of f(x)= -log2(x+1)
left one & y-axis reflection
right one & y-axis reflection
left one & x-axis reflection
right one & x-axis reflection
