Slope-Intercept Form of a Line: Assignment

Which function inputs will result in a horizontal stretch of the function f(x) = x? Check all that apply.

3. f(1/2x) 6. f(2/3x)

The graph of f(x) = x has been horizontally shrunk by a factor of 4. If no other transformations of the function have occurred, which point lies on the new graph?

A. (-1, -4)

Which input was substituted into the function f(x) = x to create the given graph?

B. f(x - 2.5)

The graph of the function f(x) = x is dashed and the graph of the transformed function with an input of f(x - c) is solid. Use the slider to change the value of c. How does changing the value of c affect the graph? If the value of c is increased from 0, the graph __________________ If the value of c is decreased from 0, the graph _________________

Blank One: shifts to the right Blank Two: shifts to the left

The graph of the function f(x) = x is dashed and the graph of the transformed function with an input of f(bx) is solid. Use the slider to change the value of b. How does changing the value of b affect the graph? If 0 < b < 1, the graph _______ compared to the function f(x) = x. If b > 1, the graph ______ compared to the function f(x) = x.

Blank One: stretches horizontally Blank Two: shrinks horizontally

How will the input of f(x + 11) affect the graph of f(x) = x? Explain.

D. The graph of f(x) = x will shift to the left 11 units because negative 11 is being subtracted from x.

Which graph shows the function f(x) = x with an input of f(x - 3)?

Graph 2

Which graph shows the function f(x) = x with an input of f(1/3x)?

Graph 4