The graph of y=√x is translated 5 units to the left and 7 units up. What is the equation of the graph that results from this translation?

y = + 7

Step-by-step explanation:

Given the graph of f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then a shift to the left of k units

• If k < 0 then a shift to the right of k units

Thus a translation of 5 units to the left

y =

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus

y = + 7 ← translated equation