Answer:
Step-by-step explanation:
(a) when there is a negative in front of the leading coefficient (- x^2), that is a reflection over the x axis. a regular parabola opens up. In this case, the negative in front of the first term makes it open downward.
-f(x) is a reflection so -2x^2 would open downward.
(b) the vertex of the parabola is -b/2a
in this problem a x^2 + bx + c = y
-2x^2 + 4x + 3 = y
a = -2, b = 4, c = 3
formula for vertex -b/2a = -4/2(-2) = -4/-4 = 1 This is the x-value of the vertex. Plug back into original equation to find the y value.
(1, ?) -2(1)^2 + 4(1) + 3 = 5
vertex is (1,5) and is above the x axis
