Transformations of Functions

Front

If the blue function is f(x)=x², then the red function must be (Options: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²)

Back

g(x)=x²-5

Front

If the blue function is f(x)=√x, the red function must be

Back

g(x)=-√x

Front

The blue function is the parent function f(x) = x³. Which of the following is the correct equation for the red function, g(x)? Options: g(x)=x³+1, g(x)=x³-1, g(x)=(x-1)³, g(x)=(x+1)³

Back

g(x)=(x-1)³

Front

How is the function y = -2|x| transformed from y = |x|?

Back

Stretched vertically by a factor of 2 and reflected over x-axis

Front

Which equation models the graph? Options: y = Ix + 2I - 1, y = -Ix + 2I - 1, y = -Ix - 2I - 1, y = -Ix + 1I - 2

Back

y = -Ix + 2I - 1

Front

Describe the transformation from the parent graph.

Back

Reflect over x-axis, translate right 3 units, translate down 4 units.

Front

What are the transformations to the graph compared to the parent function?

Back

Reflected over the x-axis, then shifted right 2 units and up 3 units

Front

Describe the parent graph transformation: vertical stretch by a factor of 1/2, translate left 1 units, translate down 3 units; vertical stretch by a factor of 1/2, translate right 1 units, translate down 3 units; vertical compression by a factor of 1/2, translate left 1 units, translate down 3 units; vertical compression by a factor 1/2, translate right 1 units, translate down 3 units.

Back

vertical compression by a factor of 1/2, translate left 1 units, translate down 3 units

Front

What type of function is shown? Options: cube root, square root, logarithm, exponential

Back

square root

Front

What type of function is shown? Options: linear, quadratic, square root, absolute value

Back

absolute value