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Chapter 10: Q 303 (page 1238)

Find a the axis of symmetry and b the vertex.y=-x2+6x+8

Short Answer

Expert verified

The required result is the axis of symmetry is the linex=3and the vertex is3,17

Step by step solution

01

Given information 

The given expression isy=-x2+6x+8

02

Determine the value of a,b,c and then find -b2a

a=-1,b=6,c=8

The axis of symmetry is the line x=-b2a

=-62-1=-6-2=3

The axis of symmetry is the linex=3

03

To find the vertex substitute x=3 into the equation and solve for y

The vertex is on the line of symmetry so its xcoordinate will be x=3

Substitute x=3into the equation and solves fory

y=-32+63+8y=-9+18+8y=9+8y=17

The vertex is3,17

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