Question

Ill give a medal to who ever answers.
[9.01] Determine whether the graph of y = −3x2 + 2x − 8 opens up or down and whether it has a maximum or minimum point.

Up; Minimum
Up; Maximum
Down; Minimum
Down; Maximum

Answer 1

it is a quadratic, so a parabola
the leading coefficient is negative (it is \(-3\)) and therefore it opens DOWN

Answer 2

since it opens down, it has a maximum, but no minimum

Answer 3

Oh ok thanks

Answer 4

yw

Answer 5

you mind answering another one?

Answer 6

Oh no I just missed a medal!!!

Answer 7

lol

Answer 8

no i don't mind, go ahead and post

Answer 9

[9.01] Identify the vertex for the graph of y = −3x2 + 6x − 2.

(1, 1)
(−1, 1)
(1, −5)
(−1, −5)

Answer 10

I think it is (-1, -5)

Answer 11

first coordinate of the vertex is always \(-\frac{b}{2a}\) which in your case is
\[-\frac{6}{2\times (-3)}=1\]

Answer 12

ok then, i still think im right on the -5 though

Answer 13

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

Answer 14

no, it is not \(-5\)

Answer 15

oh ok

Answer 16

if you let \(x=1\) you get \(-3+6-2\)

Answer 17

so 1

Answer 18

so vertex is \((1,1)\)

Answer 19

ok thanks! :)

Answer 20

yw