Transformation of Functions

Front

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

Back

Reflected over the x-axis, vertical stretch, and shifted right 5

Front

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

Back

Shifted right 2, shifted up 3, and reflected over the x-axis

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

Which equation describes the transformation of shifting f(x)=x² two units right? Options: x² + 2, x² - 2, (x + 2)², (x - 2)²

Back

(x - 2)²

Front

What are the transformations for the equation y=3(x-4)²?

Back

Horizontal shift right 4, vertical stretch by a factor of 3

Front

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

Back

Shrink of ⅔
Right 7

Front

Transformation of y = f(x) for f(x) = 5x² + 2

Back

Stretch of 5
Up 2

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