Question

Determine whether the graph of y = x2 − 6x + 3 has a maximum or minimum point, then find the maximum or minimum value.

Answer 1

well this one you would need to use a graphing calculator to determine them but it easy enough to say it has none, anything that is a variation of y=x^2 is a parabola which is only a u-shape so if anything it has 1 minimum but if i remember they regard parabolas as none.

Answer 2

The multiple choice answers that they are giving me is Minimum; (-6, 3)

Maximum; (-6, 3)

Minimum; (3, -6)

Maximum; (3, -6)

Answer 3

hmmm ok then there is a minimum

Answer 4

So how would i do this

Answer 5

make a simple graph of it, using a x/y chart and 3 simple points or if you can figureo ut it's vertex because that would be the minimum

Answer 6

find the vertex

Answer 7

Ohhhhh ok

Answer 8

first coordinate of the vertex of \(y=ax^2+bx+c\) is \(-\frac{b}{2a}\)

Answer 9

Ok

Answer 10

in your case it is \(-\frac{-6}{2\times 1}=3\)

Answer 11

ok

Answer 12

the second coordinate of the vertex is what you get for \(y\) when you replace \(x\) by \(3\)

Answer 13

OHhhh ok

Answer 14

Then i would have to plug in x

Answer 15

Which is 3

Answer 16

correct

Answer 17

which i guess you do not have to do in this case, because the only choice is \((3,-6)\)

Answer 18

YEHHHH I GOT THAT ANSWER 8'D /dance

Answer 19

pick C because it is always C

Answer 20

It would be a minimum right awesome

Answer 21

yes, a minimum

Answer 22

If i have more questions i will ask you guyz.

Answer 23

k