SOLUTION: what is the range of y= -x^2-5x+6

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Question 1088921: what is the range of y= -x^2-5x+6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is a parabola with a peak.
+x%5Bmax%5D+=+-b%2F%282a%29+
+x%5Bmax%5D+=+-5%2F2+
and
+y%5Bmax%5D+=+-x%5E2+-+5x+%2B+6+
+y%5Bmax%5D+=+-%28-5%2F2%29%5E2+-+5%2A%28-5%2F2%29+%2B+6+
+y%5Bmax%5D+=+-25%2F4+%2B+25%2F2+%2B+6+
+y%5Bmax%5D+=+25%2F4+%2B+24%2F4+
+y%5Bmax%5D+=+49%2F4+
The range is
49/4 > = f(x) > minus infinity
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+16%2C+-x%5E2+-+5x+%2B+6+%29+
check the math & get another opinion if needed