The equations of the graph after respective transformations are;
13) f(x) = a(x + 2) - 7
14) f(x) = 3(x - 5) + 2
13) In transformations, when we translate a function to the left, it means we will add the number of units it is translated to the left to f(x).
Thus, if we translate 2 units to the left, then using the form f(x) = a(x - h) + k, we will have;
f(x) = a(x + 2) + k
This is because;
h = horizontal shift
k = the vertical shift
a = the factor of stretch.
Now, we are told that it is translated 7 units down.
Downward translation denotes subtraction. Thus, k = -7 and our final translated function is;
f(x) = a(x + 2) - 7
14) Using the same concept above;
Translation of 5 units to the left means h = -5
Also, translation of 2 units up means that k = +2
Stretching by a factor of 3 means that a = 3.
Thus, from the form; f(x) = a(x + h) + k, we have;
f(x) = 3(x - 5) + 2
Read more at; https://brainly.com/question/19911529
