Exploring Transformations of Linear Functions

What is the parent linear function used in this lesson?

• f(x) = 1/x

• f(x) = 2x + 1

• f(x) = x

• f(x) = x^2

What happens to the y-intercept when the function is shifted up by 2 units?

• (0, 0)

• (0, 2)

• (2, 2)

• (2, 0)

Does the slope change when the function is shifted up by 2 units?

• Yes, it becomes 2

• No, it remains 1

• Yes, it becomes 0

• No, it becomes -1

What type of transformation is applied when the function is multiplied by 4?

• Vertical shift

• Horizontal shift

• Vertical stretch

• Horizontal stretch

What is the new slope after a vertical stretch by a factor of 4?

• 2

• 1

• 3

• 4

What happens to the y-intercept when the function is vertically compressed by a factor of 1/3?

• (0, -1/3)

• (1/3, 0)

• (0, 1/3)

• (0, 0)

What is the new slope after a vertical compression by a factor of 1/3?

• 1/4

• 1/3

• 1/2

• 1

What type of transformation is applied when the function is shifted to the left by 3 units?

• Vertical stretch

• Vertical shift

• Horizontal stretch

• Horizontal shift

What is the new y-intercept after shifting the function to the left by 3 units?

• (0, -3)

• (3, 0)

• (0, 0)

• (0, 3)

Does the slope change when the function is shifted to the left by 3 units?

• No, it becomes 0

• Yes, it becomes 3

• No, it remains 1

• Yes, it becomes -3