Transformations of Functions

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

shifted left 5 units, reflection in x-axis

Front

Identify the transformations: horizontal shift to the left 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical stretch by a factor of 3, horizontal shift to the right 2 and vertical shrink by a factor of 3, horizontal shift to the left 2 and vertical shrink by a factor of 3.

Back

horizontal shift to the right 2 and vertical stretch by a factor of 3

Front

Transformations of f(x) = ⅔(x - 7)^2

Back

Vertical Shrink of ⅔, Right 7

Front

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)?

Back

g(x)=2f(x)

Front

Transformation of y = f(x) to y = f(1/5x)

Back

Horizontal stretch by a factor of 5

Front

If the blue is f(x)=x², then the red must be: 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 is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

If red represents y = x², which equation represents black? Options: y = 7x², y = -7x², y = -(1/7)x², y = -5x²

Back

y = -7x²