Respuesta :
the translation takes the point A ( -1, -1) to (-1+4, 1) = (3, 1)
The refection in y = x 'flips' the points so (3, 1) becomes (1, 3) = A"
Do the same procedure for the other points to get the answer
(you should get B" = (-3, 3) )
The coordinates of A"B"C"D" after horizontal translation and reflected across y = x are A''(-1, 3), B''(-3, 3), C''(-3, 0) and D(-1, 0).
What is horizontal translation?
Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.
For the base function f (x) and a constant k, the function given by g(x) = f (x - k), can be sketched by shifting f (x) k units horizontally. The value of k determines the direction of the shift. Specifically, if k > 0, the base graph shifts k units to the right, and if k < 0, the base graph shifts k units to the left.
Given the vertices of ABCD as A(-1, -1), B(-1, -3), C(-4, -3) and D(-4, -1). Since, the graph is translated 4 units to the right, 4 is added to the abscissa of each coordinate. The new coordinates become A'(3, -1), B'(3, -3), C(0, -3) and D(0, -1).
What is reflecting across y = x?
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
The new coordinates become:
A''(-1, 3), B''(-3, 3), C''(-3, 0), D(-1, 0).
Learn more about horizontal translation here
https://brainly.com/question/8203815
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