## Barrelracing one year ago Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest). f(x) = –2(x − 4)2 + 2 g(x) = 5x2 − 10x + 7

1. Barrelracing

2. Michele_Laino

if we have a generic parabola: $\Large y = a{x^2} + bx + c$ then its simmetry axis, is given by the subsequent equation: $\Large x = - \frac{b}{{2a}}$

3. Michele_Laino

for example, for g(x), we have the subsequent coefficients: a=5, b=-10 c=7, so the equation of the symmetry axis, is: $\Large x = - \frac{b}{{2a}} = - \frac{{ - 10}}{{2 \times 5}} = ...?$

4. Michele_Laino

what is: $\Large - \frac{{ - 10}}{{2 \times 5}} = ...?$