Question

What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?

Answer 1

x=-1
x=-1/2
x=1/2

Answer 2

complete the square on R.H.S

Answer 3

\[y=-\left( x^2-x+\frac{ 1 }{ 4}-\frac{ 1 }{ 4 } \right)+3\]

Answer 4

\[y=-\left( x-\frac{ 1 }{ 2 } \right)^2+\frac{ 1 }{ 4 }+3\]
\[\left( x-\frac{ 1 }{ 2 } \right)^2=-\left( y+\frac{ 13 }{ 4 } \right)\]
can you find your solution.

Answer 5

yes thanks