Mathematics
13 Online
OpenStudy (joshoyen):
HELP PLS. Use the information provided to write the vertex form equation of each parabola.
1. y = -7x^2 - 14x - 6
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (astrophysics):
Notice it's in standard form \[y=ax^2+bx+c\] right
OpenStudy (joshoyen):
yeah
OpenStudy (astrophysics):
And vertex form is \[y=a(x-h)^2+k\] where (h,k) is the vertex
OpenStudy (astrophysics):
We want it in that form
OpenStudy (astrophysics):
You can find the vertex simply by using \[\frac{ -b }{ 2a }\] so what will it be?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (joshoyen):
-1
OpenStudy (astrophysics):
Right, so that is our x value, now we need the corresponding y value
OpenStudy (astrophysics):
Any idea how to find it?
OpenStudy (joshoyen):
plug it in?
OpenStudy (astrophysics):
Right! Plug in for x
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (joshoyen):
y = -7 + 14 - 6
OpenStudy (astrophysics):
Look again
OpenStudy (joshoyen):
ohhh wait
OpenStudy (joshoyen):
49 + 14 - 6
OpenStudy (astrophysics):
No you're good sorry :)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (joshoyen):
oh haha
OpenStudy (joshoyen):
so is that the answer?
OpenStudy (astrophysics):
So we get y = 1 right
OpenStudy (astrophysics):
Our vertex is (-1,1)
OpenStudy (astrophysics):
Now simply plug in the values into the vertex form I showed you earlier
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (joshoyen):
wait I got y = 57
OpenStudy (astrophysics):
\(\color{blue}{\text{Originally Posted by}}\) @joshoyen
y = -7 + 14 - 6
\(\color{blue}{\text{End of Quote}}\)
no this is good
OpenStudy (joshoyen):
ohh okay
OpenStudy (joshoyen):
@Astrophysics wait on my paper , it says the answer is y = -7(x + 1)^2 + 1
OpenStudy (astrophysics):
Remember what I said, plug in the vertex into the vertex form I showed you earlier
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (astrophysics):
Vertex form is \[y=a(x-h)^2+k\] where (h,k) is the vertex
OpenStudy (joshoyen):
Ohhhh, okay i see now
OpenStudy (joshoyen):
thank you
OpenStudy (astrophysics):
Yw :)