SOLUTION: Hi I'm having trouble finding the vertex of this function. Can you help me? y = 6x^2 + 7x + 1

Algebra ->  Equations -> SOLUTION: Hi I'm having trouble finding the vertex of this function. Can you help me? y = 6x^2 + 7x + 1      Log On


   

Question 127804: Hi I'm having trouble finding the vertex of this function. Can you help me?
y = 6x^2 + 7x + 1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+6x%5E2+%2B+7x+%2B+1

The vertex of a parabola expressed in the form f%28x%29=ax%5E2%2Bbx%2Bc is at (-b%2F2a,f%28-b%2F2a%29)

So, the x-coordinate of the vertex of your function is:

-7%2F12,

and the y-coordinate is:

f%28-7%2F12%29=6%28-7%2F12%29%5E2%2B7%28-7%2F12%29%2B1

f%28-7%2F12%29=294%2F144-49%2F12%2B1

f%28-7%2F12%29=294%2F144-588%2F144%2B144%2F144

f%28-7%2F12%29=-150%2F144

f%28-7%2F12%29=-25%2F24

Therefore the vertex is at: (-7%2F12,-25%2F24)