Under the transformation y=3f(x), the point (-4, -2) on the graph of y=f(x) will be translated to the point (-4, -6), with the y-coordinate being multiplied by 3.
The point (-4,-2) on the graph of y=f(x) will be translated to the point (-4,-6) under the transformation y=3f(x).
If the point (-4,-2) is on the graph of the function y=f(x), then under the transformation y=3f(x), every y-value of the function is multiplied by 3. So, if we have the point (-4, -2) on the graph of f(x), to find the transformed point, we multiply the y-coordinate (-2) by 3. The x-coordinate remains the same because it is not affected by this transformation.
The new y-coordinate is -2 * 3 = -6. Therefore, the point (-4, -2) will be translated to the point (-4, -6) under the transformation y=3f(x).