Exploring Linear Function Transformations with Desmos

What happens to the y-intercept of a linear function when a positive constant is added to it?

• It shifts upward.

• It shifts to the right.

• It shifts downward.

• It shifts to the left.

How does the graph of a linear function change when a constant is subtracted from it?

• The graph shifts to the right.

• The graph shifts to the left.

• The graph shifts downward.

• The graph shifts upward.

What is the effect of adding a constant inside the parentheses of a linear function?

• The graph shifts to the right.

• The graph shifts to the left.

• The graph shifts downward.

• The graph shifts upward.

When a constant is subtracted inside the parentheses of a linear function, what happens?

• The graph shifts upward.

• The graph shifts to the right.

• The graph shifts downward.

• The graph shifts to the left.

What is the result of multiplying a linear function by a number greater than one?

• The graph shifts to the right.

• The graph becomes more steep.

• The graph shifts to the left.

• The graph becomes less steep.

How does the graph of a linear function change when it is multiplied by a number less than one?

• The graph shifts to the left.

• The graph becomes less steep.

• The graph becomes more steep.

• The graph shifts to the right.

What transformation occurs when a linear function is multiplied by a negative number?

• The graph shifts upward.

• The graph shifts downward.

• The graph reflects over the y-axis.

• The graph reflects over the x-axis.

If a linear function is reflected over the x-axis and then stretched vertically by a factor of 4, what is the resulting transformation?

• The graph reflects over the x-axis and becomes more steep.

• The graph reflects over the y-axis and becomes less steep.

• The graph shifts to the left and becomes less steep.

• The graph shifts to the right and becomes more steep.

How would you write the function notation for a linear function that is translated down 7 units and left 8 units?

• f(x) = x - 8 + 7

• f(x) = -x - 7 + 8

• f(x) = -(x + 8) - 7

• f(x) = -x + 7 - 8

What is the function notation for a linear function that is compressed vertically by a factor of 1/2 and translated right 10 units?

• f(x) = 2(x + 10)

• f(x) = 1/2(x - 10)

• f(x) = 2(x - 10)

• f(x) = 1/2(x + 10)