Greetings! Lets solve this shall we ?
So, we must obtain the transformation of the given function y = 4x, where we have to shift across the y-axis and shift up 7 units.
The reflection across the y-axis means that x becomes -x such that y = 4(-x) = -4x. Then, the shift up 7 units is another way of labeling the y-intercept such that
y = -4x + 7
I hope this helped!