Transformations of Functions

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? 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

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 - 15). Which statement is true?

Back

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

Front

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

Back

g(x) = x² - 3

Front

In the equation f(x)=5(x+3)²-10, what does the 5 do?

Back

Vertical stretch by 5

Front

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

Back

down 5

Front

Does the graph of this equation open up or down? f(x) = -(x + 3)² - 5

Back

down