Advanced Geometry : Coordinate Geometry

Study concepts, example questions & explanations for Advanced Geometry

varsity tutors app store varsity tutors android store

Example Questions

Example Question #231 : Coordinate Geometry

Explain how the below function translates: 

Possible Answers:

5 units down, 7 units right

5 units left, 7 units down

5 units right, 7 units down

5 units up, 7 units left

Correct answer:

5 units left, 7 units down

Explanation:

When estimating the translations for a quadratic function we must remember what vertex form for a parabola looks like: 

In order to end up with: 

We must have the below to end up with a positive 5: 

This is what gives us the translation left 5 spaces and down 7 spaces. 

 

 

Example Question #21 : Transformations

Assume we have a triangle, , with the following vertices:

, and 

If  were reflected across the line , what would be the coordinates of the new vertices?

Possible Answers:

Correct answer:

Explanation:

When we reflect a point across the line, , we swap the x- and y-coordinates; therefore, in each point, we will switch the x and y-coordinates: 

 becomes 

 becomes , and 

 becomes 

The correct answer is the following:

The other answer choices are incorrect because we only use the negatives of the coordinate points if we are flipping across either the x- or y-axis.

Learning Tools by Varsity Tutors