The questions are in the photos below: I would like them all solved correctly.

Question 5 Not yet Give the equation of a quadratic polynomial f(x) such that the graph y = f(x) has a horizontal tangent at x = -4 and a y- answered intercept of -4. Marked out of f ( x) = 1.00 Flag questionQuestion 7 Not yet answered Marked out of 1.00 F Flag question Find the coordinates of the point of inflection of: f(x) =x3 3x2 3x+3. (m) = ([:],[:]) Question 6 Find the value of x where the function: Not yet answered x 4 f ( x ) = +x + x2 Marked out of 4 1.00 has a local maximum. Flag question x =Question 8 Suppose the derivative of a function f (x) isf'(x) = (x - 5)(x + 4). Not yet answered (a) On which open interval is f(x) decreasing? Use interval notation, for example, oo(a,b) is the same as a