What is the image of (-2, -5) reflected across x=2?

Question

What equation results when the function #f(x) = 3^(x)# is reflected in the x-axis and translated...
A triangle has corners at #(7, 1 )#, ( 3 , 2)#, and #( 8 , 5 )#. What will the new...
A triangle has corners at #(2, 1 )#, ( -4 , 3)#, and #( 8 , 5 )#. What will the new...
A triangle has corners at #(2, 1 )#, ( -4 , 3)#, and #( 1 , -2)#. What will the new...
A triangle has corners at #(2, 1 )#, ( 6 , 1)#, and #( 1 , -2)#. What will the new...
A triangle has corners at #(2, -5 )#, ( 6 , 1)#, and #( 1 , -2)#. What will the new...
A triangle has corners at #(2, -5 )#, ( 6 , 1)#, and #( 4 , 3)#. What will the new...
A triangle has corners at #(3, -5 )#, ( 2 , -1)#, and #( 4 , 3)#. What will the new...
A triangle has corners at #(2, -7 )#, ( 1 , -3)#, and #( 4 , 3)#. What will the new...
A triangle has corners at #(4, 6 )#, ( 1 , -3)#, and #( 1 , -4)#. What will the new...

69377 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-18T16:13:25

#:.(-2,-5)rarr(6,-5)#

A good diagram for these types of questions is useful

enter image source here

From the diagram we see the object point #(-2,-5)#

is mapped to #(x',y')# by a reflection in the line #X=2#

we note

(1) the y-coordinate is unaffected.

(2) for reflections the distance from the line of reflection to the object is equal to the distance to the image point.

#:. a=2+2=4units#

so the image point is 4 units from the line of reflection

ie #x'=2+4=6#

#:.(-2,-5)rarr(6,-5)#