Given:

Required:
(a) Find parabola opens upward.
(b) Find the vertex.
(c) Find the X-intercepts.
(d) Find Y intercepts.
Step-by-step explanation:
The given equation is:

Rewrite it as:

Compare the equation with the standard equation

a = -2, h =1 and k =13
(a) Since the value of a = -2 < 0 so the parabola opens down.
(b) The vertex of the parabola is (h,k) .
Thus the vertex of given the parabola is (1, 13).
(c) At the X-intercept y = 0

The given equation is a quadratic equation.
Compare it with

solve it as

(d) At the y-intercept x =0

Final Answer:
(a) Parabola opens downward
(b) vertex = (1, 13)
(d) y-intercept is 11