4x What is the function g(x) created from f(x)=x^2 by moving the graph left 2 units, vertically stretchi A g(x)=2(x+3)^2+5 B g(x)=3(x-2)^2+5 C g(x)=3(x+2)^2+5 D g(x)=5(x+3)^2+2

To determine the function created from by moving the graph left 2 units and vertically stretching it, we need to apply the given transformations to the original function.Step 1: Moving the graph left 2 unitsWhen a graph is moved left or right, it means that the x-coordinate of each point on the graph is shifted. In this case, the graph is moved left 2 units, which means that the x-coordinate of each point will be decreased by 2. Therefore, the new function after moving the graph left 2 units is: Step 2: Vertically stretching the graphVertical stretching means that the y-coordinate of each point on the graph is multiplied by a certain factor. In this case, the factor is 3. Therefore, the new function after vertically stretching the graph is: Therefore, the correct answer is C: .