Effects of Vertical Shifts on Parabolas

The video tutorial explains how to compare parabolas by sketching graphs and using tables of values. It demonstrates plotting points and highlights the symmetry in graphs. The tutorial further explores how vertical shifts affect the position of the vertex, showing that subtracting or adding a constant shifts the graph down or up, respectively. The vertex's position changes accordingly, providing insight into graph transformations.

What is the equation of the original parabola discussed in the video?

• y = x^3

• y = x + 2

• y = x^2

• y = 2x

Why is a table of values used initially in the video?

• To determine the y-intercept

• To understand the shape of the graph

• To find the exact vertex

• To calculate the slope

What is the y-value when x = -2 for the first graph?

• 3

• 4

• 2

• 5

What is the y-value when x = 0 for the second graph?

• 0

• 1

• 2

• 3

What is the main observation when comparing the two plotted graphs?

• They are symmetrical

• They have different shapes

• They are identical

• They have different slopes

What happens to the graph when 1 is subtracted from the equation?

• It shifts left

• It shifts up

• It shifts right

• It shifts down

What happens to the graph when 1 is added to the equation?

• It shifts left

• It shifts right

• It shifts up

• It shifts down

What is the vertex of the original parabola?

• (1, 1)

• (0, 1)

• (1, 0)

• (0, 0)

What is the vertex of the graph when it is shifted down?

• (0, -1)

• (0, 1)

• (1, -1)

• (1, 0)

What is the vertex of the graph when it is shifted up?

• (0, -1)

• (0, 1)

• (1, 0)

• (1, 1)