Graph the image of the given triangle after the transformation that has the rule (x, y)→(−x, −y) .

By the given graph,

The vertices of the triangle are,

(7,4), (-2,5) and (6,7),

Given rule of transformation,

Thus, under this transformation, the vertices of the transformed triangle would be,

(-7,-4), (2, -5) and (-6,-7)

Plot these points on the given graph,

After joining them we will get the graph of the transformed triangle ( shown below )

answer: -8.2562234e+13

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.