In this problem, y = 1/(x2 + c)
is a one-parameter family of solutions of the first-order DE
y' + 2xy2 = 0.
Find a solution of the first-order IVP consisting of this differential equation and the given initial condition.
y(4) =
1
7
y =

Give the largest interval I over which the solution is defined.
(??, ?)
(3, ?)
(?3, ?)
(0, 3)
(0, ?)

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.

parallelogram is the   answer