F(x)=(x+3)^2-1 g(x)=-2x^2+8x+3 what are the x- and y- intercepts of the graph of the function f(x)? identify the coordinates of any maxima or minima of the function. explain your answers.

X-intercepts of f(x) are
                 
                 
As points they are (-2,0) and (-4,0)
y-intercept of f(x) is
                 
As a point it is (0,8)

x-intercepts of g(x) are:
                 
                 
y-intercept of g(x) is:
                 
As a point it is (0,3)

f(x) has a minima, the function is cap-sized. Since we have a simple case of quadratic function, there is no need to check the second order derivative. Indeed, I will attach both graphs for f(x) and g(x). The minima of f(x) is (-3,-1). And g(x) has a maxima. This maxima is the point (2,11)