Transforming Linear Functions: Shifts, Reflections, and Dilations

The video tutorial explains how to graph the function f(x) = x + 2 and its transformations. It covers shifting the graph vertically and horizontally, and the effects of multiplying the function by a negative number. The tutorial provides both graphical and algebraic perspectives, demonstrating how these transformations affect the slope and intercept of the line.

What is the y-intercept of the original function f(x) = x + 2?

• 1

• 0

• 2

• 3

What is the slope of the original function f(x) = x + 2?

• 0

• 1

• 2

• 3

After shifting the function f(x) = x + 2 up by 1 unit, what is the new y-intercept?

• 2

• 1

• 4

• 3

What is the equation of the function after it is shifted up by 1 unit?

• y = x + 4

• y = x + 1

• y = x + 2

• y = x + 3

How many units is the function f(x) = x + 2 shifted to the right in the second transformation?

• 1

• 2

• 3

• 4

What is the new intercept after shifting the function f(x) = x + 2 two units to the right?

• (0, 0)

• (2, 2)

• (2, 0)

• (0, 2)

What is the simplified equation of the function after shifting it two units to the right?

• y = x + 4

• y = x + 2

• y = x

• y = x - 2

What effect does multiplying the function by -2 have on its graph?

• Flips it over the y-axis

• Shifts it up

• Shifts it down

• Flips it over the x-axis

What is the new y-intercept after multiplying the function by -2?

• -2

• -4

• 2

• 4

What is the slope of the function after it is multiplied by -2?

• -1

• 2

• -2

• 1