Question

F(x)=-3(x-3)^2+12 where is f of x increasing

Answer 1

Answer: f(x) increases:(x less than or equal to sign 3)

Step-by-step explanation:

Since your equation is in vertex formula, it is more simple to find the vertex first and then go from there.

Since you have in the parenthesis (x-3) and you have the +12 on the outside, we can conclude that the vertex is (3,12) and that it is faces down because of the negative symbol in front of the vertical stretch of 3 on the outside of the parenthesis.

From there when you draw the graph it should look like an upside down U shape with the highest point being (3,12) because that that is your vertex and 12 is your max.

The axis of symmetry would be 3.

The graph would increase at x is less than or equal to 3 and x would decrease at x is greater than or equal to 3.