Exploring Vertical Scaling in Linear Equations

What is the X intercept of a line?

• The point where the line is horizontal

• The slope of the line

• Where the line crosses the X axis

• Where the line crosses the Y axis

How does the slope of F(x) compare to G(x) in the first example?

• F(x) has a slope of 3, G(x) has a slope of 1

• F(x) has a slope of 1, G(x) has a slope of 3

• Both have a slope of 3

• Both have a slope of 1

What transformation occurs when a function is multiplied by a number greater than one?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What is the algebraic representation of G(x) when the slope is 3 and the Y intercept is 3?

• G(x) = 3x + 3

• G(x) = x + 3

• G(x) = x + 1

• G(x) = 3x + 1

What happens to a function when it is multiplied by a number between zero and one?

• It undergoes a vertical stretch

• It undergoes a vertical compression

• It undergoes a horizontal stretch

• It remains unchanged

How does the Y intercept of G(x) compare to F(x) in the second example?

• Both are at the same distance from the X axis

• G(x) is closer to the X axis

• G(x) is closer to the Y axis

• G(x) is farther from the X axis

What is the effect of vertical scaling on the position of a line?

• Moves the line closer to the X axis

• Moves the line closer to the Y axis

• Moves the line further from both axes

• Moves the line closer to both axes