Transformations of Functions

Front

Transformations of f(x) = (x-3)² + 5 from the original function f(x)? Options: Left 3 and up 5, Right 3 and down 5, Left 3 and down 5, Right 3 and up 5

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? Options: -f(x), f(-x), f^-1(x), f(2x)

Back

-f(x)

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

Match the equation to its description: Right 2 and up 2, Left 2 and up 2, Right 2 and down 2, Left 2 and down 2

Back

Right 2 and up 2

Front

Describe the transformation to f(x) that results in g(x) = -f(x).

Back

f(x) has been reflected over the x-axis.

Front

Coordinates of point (3, -2) after translating 5 units left and 6 units up.

Back

(-2, 4)

Front

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

Back

a translation shifting f(x) 4 units to the left

Front

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)? Options: Vertical Compression by a factor of 2, Vertical Stretch by a factor of 2, Vertical translation up by 2 units., Reflection across the x-axis.

Back

Vertical Stretch by a factor of 2

Front

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

Back

The graph of f is shifted 12 units down to create the graph of g.

Front

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

Back

The graph of f is shifted 15 units to the right to create the graph of g.