Question

Please help
Find the maximum y-value on the graph of y=f(x)
f(x)=x^2+6x+4
the maximum y-value is y=

Answer 1

Do you know what kind of shape this graph makes?

Answer 2

An arch?

Answer 3

Well, yes. In math we call it a "parabola". Can you tell whether it opens up or down?

Answer 4

IM guesing down

Answer 5

No, plug in a value like 1, then 2 and see what happens to the values. You'll see that when x is positive, they will grow.

If x is negative, the values will decrease.

Answer 6

Ok and then how will I know I have the maximum value of y

Answer 7

Is the answer 10

Answer 8

Well, if the graph opens up, the maximum value is infinite. You can see the function just grows and grows and grows.

Answer 9

The question is asking for the maximum y value

Answer 10

Yes, the maximum y-value is infinite. There is no maximum, the function grows unbounded.