Linear Functions and Slope Transformations Quiz

Which of the following functions has a slope that is less steep than the slope of the linear parent function f(x) = x?

• y = 3x

• y = x + 8

• y = (1/3)x

• y = x - 2

What does it mean when the graph of y = x is vertically compressed?

• The slope becomes steeper.

• The graph is shifted up.

• The slope becomes less steep.

• The graph is reflected about the x-axis.

Which of the following is an example of a function with a less steep slope than f(x) = x?

• g(x) = 10f(x)

• g(x) = 2/7 f(x)

• g(x) = f(x) + 7

• g(x) = -f(x)

If g(x) = 0.8f(x), how does the slope of g(x) compare to the slope of f(x) = x?

• The slope is steeper.

• The slope is less steep.

• The slope is unchanged.

• The slope is negative.

Which of the following functions has a y-intercept that is shifted up from the y-intercept of the linear parent function f(x) = x?

• y = x + 1

• y = x - 2

• y = x - 1/2

• y = -x

What is the effect on the graph of y = x when you use the transformation g(x) = f(x) + 7?

• The graph is translated up.

• The graph is translated down.

• The graph is reflected about the x-axis.

• The graph is vertically compressed.

Which of the following equations represents a function whose y-intercept is shifted up from the parent function f(x) = x?

• y = x + 8

• y = x - 2

• y = 3x

• y = 1/3x

If the graph of y = x is translated up, which of the following is a possible equation for the new function?

• y = x + 1

• y = x - 2

• y = x

• y = -x

Which of the following transformed functions has a y-intercept that is shifted down from the y-intercept of the linear parent function f(x) = x?

• y = x - 2

• y = x + 8

• g(x) = 10f(x)

• y = x + 1

What does the transformation g(x) = f(x) - 1.2 do to the y-intercept of the parent function f(x) = x?

• Shifts it down by 1.2 units

• Shifts it up by 1.2 units

• Stretches it vertically

• Compresses it horizontally