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

Transformations of f(x) = ⅔(x - 7)^2

Back

Vertical Shrink of ⅔, Right 7

Front

Describe the transformation of y = f(x) to the new function y = f(1/5x)

Back

Horizontal stretch by a factor of 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

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

Back

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

Front

Back

g(x)=2x²

Front

What are the following transformations:
f(-x) - 4

Back

reflection over the y axis and 4 units down

Front

Back

f(x)=3∣x−2∣−2

Front

Equation of the graph: y = √(x - 3), y = √(x) + 3, y = √(x - 5) + 4, y = √(x + 5) + 4

Back

y = √(x - 5) + 4

Front

Transformations of f(x) = 2^x to g(x) = -2^(x+3) -6

Back

reflects, left 3, down 6