7.2 #4-5 and N,R 2

4. The graph of the function f(x) = vx is vertically stretched by a factor of 2 and translated an unknown amount to give the graph of the function g(x). If the domain of g(x) is {xIx >- 3, x E R}, what is a possible equation of the function g(x)? A. g(x) = 2Vx-3 B. 8 (x ) = 2Vx+ 3 C. 8(x) =1 2 V - 3 D. 8(x) = 7Vx+3 Hint: All the y-coordinates are multiplied by the vertical stretch factor. The value under the square root sign cannot be less than zero. Numerical Response 2. The point (5, 12 ) lies on the graph of y = g (x). If the function is transformed to y = g(x-5) + 9, a point on the graph of the transformed function will be (n, 21). The value of n will be Honut ond tasty Hint: Only the transformations applied to the x-variable will affect n. A 5. The phase shift and vertical displacement of the graph of y = 2 sin(x + 60 ) + 3, when compared to the graph of y = sin (x), respectively, are A. 60 to the right and 3 units down B. 60 to the right and 2 units down C. 60 to the left and 2 units up D. 60 to the left and 3 units up