Use a table of values to confirm the transformation of the function

The video tutorial explains graph transformations, focusing on the parabola y = X^2. It demonstrates how to use a table of values to understand graph shifts, specifically the transformation from X^2 to X^2 + 2, which results in a vertical shift. The tutorial emphasizes the importance of identifying graph changes by plotting points and understanding the effects of transformations.

What shape does the graph of y = x^2 form?

• A hyperbola

• A parabola

• A straight line

• A circle

What is the purpose of creating a table of values for a function?

• To calculate the function's derivative

• To visualize the graph's transformation

• To determine the function's domain

• To find the slope of the graph

When you plug in x = -1 into the function x^2, what is the resulting value?

• -1

• 2

• 1

• 0

What is the effect of adding 2 to the function x^2?

• The graph shifts 2 units to the right

• The graph shifts 2 units upwards

• The graph shifts 2 units to the left

• The graph shifts 2 units downwards

How can you identify a transformation if you forget the specific rule?

• By guessing the transformation

• By using a calculator

• By memorizing all transformations

• By plotting a few points and observing changes