Answer:
Step-by-step explanation:
We will first need to find the coordinates of the turning point of the parabola, and here is how:
First use x= -b/2a to determine the axis of symmetry (which is also the x coordinate).
x=-6/2(3)
x=-1
Now that we have the x value, we can substitute it into the quadratic equation to get its corresponding y value:
f(-1) = 3(-1)^2 + 6(-1) - 8
y = -11
Because -11 is the lowest y value of the graph, your range is:
y >= -11