MTH133Unit 4 Individual Project A1. Use the graph off(x)= x^2to match the function to its corresponding graph. In words describe the transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).Graph of y = x^2Choose from the following functions:g(x) = (x 2)^2 h(x) = x^2 2 i(x) = (x + 3)^2 j(x) = (x + 1)^2 + 3a) graphb) graphc) graphd) graph2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.a) f(x) = 4x^2-7x + 3b) g(x) = 10/(x + 7)c) f(x) = SQRT(4x 16)d) 2x/(x 3)e) f(x) = 3x 93) 3. Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.a) Find the vertical asymptote of the function f(x) = 4/ (x + 5)b) Find the horizontal asymptote of the function g(x) = (5x^2 4)/(x + 1)c) Find the vertical and horizontal asymptotes of the function f(x) = (3x 1)/(x + 4)d) d) Find the vertical and horizontal asymptotes of the function g(x) = (x + 7)/(x^2 4)