Transformations of Functions

Front

Describe the transformation of the function y = f(x) + 5

Back

up 5

Tags

CCSS.HSF.BF.B.3

Front

Describe the transformation of the function y = f(x+5)

Back

left 5

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.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 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

Describe the transformations that map
y = g(x) to y = - g(x + 6) - 10

Back

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

Front

Back

3 Units Up

Tags

CCSS.HSF.BF.B.3