Which of these reflection(s) map figure A onto figure B? a reflection over the line y = x
a reflection over the line y = -x
a reflection over the line x=0 followed by a reflection over the line x = 0
a reflection over the line x = 0 followed by a reflection over the line y = 0

A reflection over a given line leaves the distance between each point and the line invariant.

Some basic rules are:

for a point (x, y)

- a reflection over x = 0, leaves our point as (-x, y)

- a reflection over y = 0, leaves our point as (x, -y)

Now, in the image, we can see that in one triangle the base faces down, and in the other the base faces up. Then we must start with a reflection over the line y= 0.

And now our triangle will be in the fourth quadrant, and triangle B is in the 3rd quadrant, then we need to do a reflection over the line x = 0.

(is the same as doing first a reflection over the line x= 0 and then other over the line y = 0)

Now, triangle A is in quadrant 1 and triangle B is in quadrant 3, so we can do a reflection over a line that divides those quadrants, that line is y = -x.

Then the correct options are:

A reflection over the line y = -x

A reflection over the line x = 0 followed by a reflection over the line y = 0

answer: c

because if you look at the chart you can see a pattern and compare it to the question he simplify out your

but i think the formula is f(x)=6x