Question

Will Give Medal!!!

Determine which of the following statements is true concerning the values described in column #1 and column #2.

Column #1
The x-coordinate of the vertex of the graph of
y = −2x^2 − 4x + 12

Column #2
The x-coordinate of the vertex of the graph of
y = x^2 − 4x + 3

The value found in column #1 is greater than the value found in column #2.
The value found in column #1 is less than the value found in column #2.
The value found in column #1 is equivalent to the value found in column #2.
The relationship between column #1 and column #2 cannot be determined

Answer 1

You can find the x-coordinate of the vertex of the parabola with the equation
x = -b/(2a)

Answer 2

Yes... oh so i have to solve out the problem completely... so if i put column 1 into that formula i would get

-(-4)/2(-2)
4/-4
-1

...right?

Answer 3

correct

Answer 4

Then if i did that for the second column as well i would get...


-(-4)/2(1)
4/1
4

...right?

Answer 5

2 times 1 is 2.
Should be 4/2

Answer 6

Oh yea my bad lol (i feel dumb)

Answer 7

So it would be 4=vertex

Answer 8

Second column:
x = 4/2 = 2
(yes I'm sleepy too if you are)

Answer 9

Lol yea... So afteer i find the vertex what do i need to do...?

Answer 10

compare them because that's what the options talk about
Column 1: x = -1
Column 2: x = 2

Answer 11

Ok so it looks column 2 is bigger than column one and column one is smaller than column 2... So would my answer be the second choice?

Answer 12

Also if you dont mind and you have time... could you help me with a few more...

Answer 13

Yes that's correct. The x value of the vertex is less for the first graph.

Answer 14

Yay!!! lol thank you so much!

Answer 15

No problem :) Well I'm actually sleepy so I was gonna go to bed.

Answer 16

Oh ok thats fine i understand but thanks so so much for your help! :)