SOLUTION: What is the vertex of {{{ y=-x^2-3x+6 }}} I keep getting (-3/2), (-3/4) but the y intercept is 6, so I don't understand this equation at all.

Algebra ->  College  -> Linear Algebra -> SOLUTION: What is the vertex of {{{ y=-x^2-3x+6 }}} I keep getting (-3/2), (-3/4) but the y intercept is 6, so I don't understand this equation at all.      Log On


   

Question 395889: What is the vertex of +y=-x%5E2-3x%2B6+ I keep getting (-3/2), (-3/4) but the y intercept is 6, so I don't understand this equation at all.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The y-intercept has nothing to do with the vertex.

You are right that the x-coordinate of the vertex is -3/2. However, the y-coordinate is

-%28-3%2F2%29%5E2+-+3%28-3%2F2%29+%2B+6+=+33%2F4

So the vertex is (-3/2, 33/4).