The equation and graph of a polynomial are shown below the graph reaches it's maximum when the value of x is 3 what is the y value of this maximum y=-x^2+6x-7?

1 Answer
georgef
Apr 10, 2018

You need to evaluate the polynomial at the maximum #x=3#,

Explanation:

For any value of #x, y=-x^2+6x-7#, so replacing #x=3# we get:

#y=-(3^2)+6*3-7=-9+18-7=18-16=2#, so the value of #y# at the maximum #x=3# is #y=2#

Please note that this doesn't prove that #x=3# is the maximum

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