Question

Determine which of the following is a solution to y > -x2 + 4x - 6 by graphing.
A. (0, -6)
B. (0, 0)
C. (2, -3)
D. (3, -4)

Answer 1

Just guide me through :) I despise cheating.
Thanks in advance for everyone's help!

Answer 2

Are you sure you need graphing for this? There's a way to do it without that, but alright, let's do it the graph way.

Answer 3

It doesn't ask for any graph, no.

Answer 4

Then you can try and plug in each and every choice, and then check if the inequality holds true.

Answer 5

\[
y > -x^2 + 4x - 6
\]For \((0,-6)\) we put: \[
-6 > -(0)^2 + 4(0) - 6 \\
-6 > 0 +0 - 6 \\
-6 > -6
\]False, so \((0,-6)\) doesn't work.

Answer 6

^ Did you follow that? Could you extend it to other choices as well?

Answer 7

Gotcha

Answer 8

Thank you. Understood! I'll try this and tell you if I need more help.

Answer 9

So to check D, would I do
\[−3>−(2)^2+4(2)−3\]

Answer 10

I meant C.
C. (2, -3)

Answer 11

Yes, that step is correct.

Answer 12

Oh dear.
I got false on all accounts.

Answer 13

I see. Double-checked, and you seem to be correct.

Answer 14

C and D didn't work. Let me try B.

Answer 15

Oh, I forgot to try B myself. lol

Answer 16

Shucks, again false.

Answer 17

Why?

Answer 18

\[0 >-6\]

Answer 19

No it's TRUE!
Gosh I did it wrong haha

Answer 20

Thank you, I suppose B is the answer.

Answer 21

Yup, it should be.