anonymous one year ago Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their axis of symmetry. A. f(x), g(x), h(x) B. h(x), g(x), f(x) C. g(x), h(x), f(x) D. h(x), f(x), g(x)

1. anonymous

These are quadratic functions. They are of the form$y=ax ^{2}+bx+c$Axes of symmetry for quadratic function are always vertical lines. The equation of the axis of symmetry is determined using$x=-\frac{ b }{ 2a }$For each of the given functions, use the above formula to determine the equation of the axis of symmetry and then arrange them in ascending order.

2. anonymous

For example, if you are given$d \left( x \right)=4x ^{2}-3x-2$the axis of symmetry would be$x=-\frac{ \left( -3 \right) }{ 2\left( 4 \right) }=\frac{ 3 }{ 8 }$Get the idea?

3. anonymous

okay thank you !

4. anonymous

You're welcome.