Question

algebra II question, see attachment!

Answer 1

Determine whether each function has a maximum or minimum value. Then find the value.

Answer 2

@Directrix

Answer 3

Let's picture a parabola, which is \[x^{2}\]

If it's positive, that means the parabola is opening upwards. Would the curve be a maximum or minimum? (The curve is at the bottom of the parabola)

If it's negative, \[-x ^{2}\]it would be opening downwards. Would the curve be a maximum or minimum in that case? (The curve is at the top of the parabola)

Answer 4

@CloverRacer If you go over to Desmos.com, you can graph the function and see the value of the maximum.

Go there and enter this equation: y = -x^2 + 4x - 4

Answer 5

okay on it.

Answer 6

Great. The graph is fairly easy to use.

Answer 7

Yeah, I regularly use that website. It's a lifesaver. I got 2 as the x-intercept and -4 as the y-intercept.

Answer 8

Let me see what I got. I'll snip and clip, and paste it here.

Answer 9

So (2,0) is the maximum point?

Answer 10

The maximum value is the y value that is the largest of all y values of the function.

The maximum VALUE of y = 0.

The coordinates of the the maximum POINT is (2,0).

Answer 11

@CloverRacer The maximum value of y is what?

Answer 12

Ohh okay so the answer would be a minimum value? The maximum value of y is 0

Answer 13

No. Look at the graph.
>> minimum value?

We are doing maximum values of y. The biggest value of y on the function on the graph.

Try again.

Answer 14

i'm a little confused and don't know how to get it.

Answer 15

I know it's going to be negative because the parabola is downward.

Answer 16

It will not be negative. I think you have maximum and minimum confused.

Look at the graph.

Answer 17

The largest y will ever be in its entire life in this problem is zero.

Answer 18

ohh okay i see.

Answer 19

so it's maximum; 0?

Answer 20

Maximum value is 0