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Example Questions
Example Question #471 : Advanced Geometry
Explain how the below function translates:
5 units right, 7 units down
5 units left, 7 units down
5 units up, 7 units left
5 units down, 7 units right
5 units left, 7 units down
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 #31 : Coordinate Geometry
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?
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.
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