Question

Which statements about the graph of the function Fx=-x2-4x+2 are true check all that apply

Answer 1

Step-by-step explanation:

Just graph it and see if the descriptions fit the graph

(see attached)

A. We can see from the graph that the possible x-values are -∞ ≤ x ≤ +∞ . Hence limiting to domain to x≤ -2 this is obviously not true.

B. We can see from the graph that the vertex is y = 6 and that the entirety of the graph is under this point, hence range y<6 is true

C. We can see that the vertex is located at x=-2. Every part of the graph to the left of this point has a positive slope, hence the function is increasing for negative infinity to this point x=-2 is true

D) We can see that for the interval -4<x<∞, the graph actually increases between -4<x<-2, and then decreases after that. Hence this statement is not true.

E. it is obvious that the y intercept is y=2 which is positive. Hence this is true.