Exploring Transformations of Linear Functions

What is the slope of the function f(x) = x?

• 0

• 1

• 2

• 5

Where does the graph of f(x) = x intersect the y-axis?

• (0, 1)

• (0, 0)

• (1, 1)

• (1, 0)

What is the y-intercept of the function g(x) = x + 5?

• 0

• 5

• -5

• 1

How does the graph of g(x) = x + 5 compare to f(x) = x?

• It is shifted 5 units down

• It is shifted 5 units up

• It is shifted 5 units to the right

• It is shifted 5 units to the left

What happens to the graph of a function when the slope increases?

• It becomes less steep

• It shifts down

• It becomes more steep

• It shifts up

In the function y = 3/4x - 5, what does the slope 3/4 indicate?

• The line is less steep than y = 1/2x - 5

• The line is more steep than y = 1/2x - 5

• The line is horizontal

• The line is vertical

What is the slope of the function f(x) = -5x?

• 5

• -5

• -1

• 1

How does the graph of f(x) = -5x compare to g(x) = x?

• It is more steep and shifted down

• It is less steep and reflected across the y-axis

• It is more steep and reflected across the y-axis

• It is less steep and shifted up

What transformation occurs when the slope changes from 1 to 4?

• The line shifts up

• The line becomes more steep

• The line shifts down

• The line becomes less steep

What is the effect of changing the y-intercept on the graph of a linear function?

• It rotates the line

• It changes the slope

• It shifts the line up or down

• It reflects the line