[填空题]
Let $f(x)=2 x^{2}-8 x+6$ , for x $\in \mathbb{R}$ .
1. Write down the value of f(0) .
2. Solve the equation f(x)=0 .
The function f can be written in the form $f(x)=a(x-h)^{2}+k$ .
3. Find the values of a, h and k .a = h = k =
4. For the graph of f , write down:
1. the coordinates of the vertex;(a,b) a = b =
2. the equation of the axis of symmetry.
The graph of a function g is obtained from the graph of f by a reflection in the x -axis, followed by a translation by the vector $\binom{1}{3}$ .
5. Find g(x) , giving your answer in the form $g(x)=p x^{2}+q x+r$ .