Transformations of Functions

Front

Transformations of the function compared to y = √(x)?

Back

Reflected over the x-axis, vertical stretch by a factor of 2, and shifted right 5

Front

Transformations to the graph compared to the parent function y=√(x)?

Back

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

Front

Describe the transformation of y = f(x) for the new function y = f(x) - 5.

Back

The graph of y = f(x) was shifted down 5 units.

Front

Equation for shifting f(x)=x² two units right?

Back

y = (x - 2)²

Front

Transformations of y=3(x-4)^2?

Back

Vertical stretch by a factor of 3, horizontal shift right 4

Front

Describe the transformation of y = f(x) for the new function f(x) = ⅔(x - 7)^2

Back

Vertical compression by a factor of ⅔, Shift right 7 units

Front

Transformations of f(x) = (x-3)² + 5 from the original function.

Back

Right 3 and up 5

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Back

-f(x)

Front

The blue function is the original 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

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

Back

reflection in x-axis, shifted left 5 units