The point (4,3) reflected about the x axis,
=> The x remains the same, the y flips over the x axis to be negative
(4,3) ==>> (4,-3)
The point (-3,-8) is reflected in the y-axis.
=> The y remains the same, the x flips over the y axis to be negative
The point (2,4) is reflected in the line x = -3.
=> The x remains the same, the y flips over the x= -3 line.
Instead of reflecting over the x axis (or the x = 0) line
and just being +4 or 4 above the x axis to -4 or 4 below the x axis
you have +4 being 7 above the x= -3 line so you need
7 below the x= -3 line or -10 SO
The point (a, b) is reflected in the line y = x
Consider that the line x=y is a 45 degree diagonal.
Imagine a point on the x axis at +3 i.e. (3,0)
Imagine a line perpendicular to x=y from the point (3,0)
(sorry there is no way to draw on here - try drawing it)
The line would hit the y axis at (0,3)
So you can see the x becomes y and y becomes x.
ΔXYZ is defined by its vertices X(1,3), Y(-3,5), and Z(0, -5).
ΔXYZ is reflected in the y-axis.
So for each of of the 3 points X, Y, and Z reflect them about
the y axis the same way in the second example above
and you will have the 3 new points X’, Y', and Z’
The translation T: (x, y) → (x -2, y + 4) maps the point (2, -3) to
The translation T: (x, y) → (x + 3, y - 2) maps the point (-4, -3) to
What you need to do here is just plug the values for X and Y into the translation.
e.g. for T: (x, y) → (x -2, y + 4) plug (2,-3) of x=2 y=-3 into (x -2, y + 4) and get the new values.