Understanding Parabolas and Inverses

The video tutorial explains how to find the inverse of a graph by switching the x and y coordinates, using the vertex as a key point. It also covers graphing parabolas, identifying the vertex, and checking coordinates to ensure accuracy. The tutorial emphasizes the importance of verifying with multiple points to confirm the correct graph representation.

What does it mean when a graph is restricted from 3 to infinity?

• The graph is only considered on the left side.

• The graph is only considered on the right side.

• The graph is considered on both sides.

• The graph is not considered at all.

What is the inverse of a function in terms of coordinates?

• The x and y coordinates are added.

• The x and y coordinates are switched.

• The y-coordinates are doubled.

• The x-coordinates are doubled.

If the vertex of a graph is (3, -7), what is the vertex of its inverse?

• (3, 7)

• (7, -3)

• (-7, 3)

• (-3, 7)

Why is it important to check more than one point when verifying an inverse graph?

• To confirm there is only one possible correct answer.

• To make the graph look better.

• To ensure the graph is symmetrical.

• To confuse the students.

What is the vertex of the parabola given in the second question?

• (-3, -1)

• (3, 1)

• (3, -1)

• (-3, 1)

What does the vertex (3, -1) tell us about the equation of the parabola?

• The outside should be a plus 1.

• The inside should be a minus 3.

• The outside should be a minus 3.

• The inside should be a plus 3.

Which points does the parabola touch according to the transcript?

• (2, -3) and (4, -3)

• (2, -4) and (4, -4)

• (2, 3) and (4, 3)

• (2, 4) and (4, 4)

What is the correct answer choice for the parabola graph?

• C

• B

• A

• D