Question

[9.01] Determine whether the graph of y = x2 + 4x − 7 has a maximum or minimum point, then find the maximum or minimum value.

Answer 1

@flowmaster1776 are you good with derivatives or prefer simpler.

Answer 2

never heard of it so simpler haha @telliott99

Answer 3

Simpler is to find the vertex
x-value at the vertex is -b/2a

Answer 4

So that's x = -2. This is just the calculus without the calculus if you get me.
Actually you can work it out geometrically. Brahmagupta did this kind of thing...

Answer 5

and since x^2 is positive, for large x this will be very large y

Answer 6

that means x = -2 is a minimum

Answer 7

-2 and -11 possibly?

Answer 8

A parabola with form y = x^2, opening up or down, will have only one critical point.

Answer 9

that is times a const with can be +/-

Answer 10

Oh, you mean the value of y. Yes.

Answer 11

thanks