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Chapter 10: Q 304 (page 1238)

Find (a) the axis of symmetry and (b) the vertex.y=2x2-8x+1

Short Answer

Expert verified

The required result is the axis of symmetry is the linex=2 and vertex is(2,-7)

Step by step solution

01

Given information  

The given expression isy=2x2-8x+1

02

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

a=2,b=-8,c=1

The axis of symmetry is the line role="math" localid="1651086018080" x=-b2a

=--822=84=2

The axis of symmetry is the line x=2

03

 To find the vertex substitute the value of xinto the equation and solve for y

The vertex is on the line of symmetry so its xcoordinate will be x=2

Substitute x=2into the equation and solves for y

y=222-82+1y=8-16+1y=-8+1y=-7

The vertex is2,-7

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