Understanding Graphing and Transformations of f(x) = 5

The video tutorial explains how to graph the function f(x) = 5, which is a horizontal line at y = 5. The instructor replaces f(x) with y, showing that the equation y = 5 represents a line where every point has a y-value of 5. The video demonstrates plotting points like (1, 5), (2, 5), (0, 5), and (-3, 5) to illustrate the horizontal line. It discusses the lack of transformations, as the line is simply shifted up to y = 5, and explains that the slope is zero because there is no x-term. The y-intercept is identified as 5, and the video concludes with a summary of these concepts.

What type of equation is f(x) = 5?

• Cubic equation

• Linear equation

• Exponential equation

• Quadratic equation

In the function f(x) = 5, what can f(x) be replaced with?

• z

• y

• a

• b

What is the y-value for all points on the graph of y = 5?

• 5

• 0

• 10

• Variable

Which of the following points lies on the graph of y = 5?

• (2, 3)

• (0, 5)

• (5, 0)

• (3, 2)

What is the slope of the line y = 5?

• Undefined

• 0

• 5

• 1

What is the y-intercept of the line y = 5?

• Variable

• 0

• 5

• 10

What type of transformation is applied to the line y = 5?

• Reflection

• Translation

• Rotation

• Dilation

What is the main characteristic of the graph of y = 5?

• Vertical line

• Curved line

• Diagonal line

• Horizontal line

Why is the slope of the line y = 5 equal to zero?

• Because it has a positive slope

• Because it passes through the origin

• Because it is a horizontal line

• Because it is a vertical line