Question

Write the equation of the axis of symmetry and the coordinates of the vertex of the graph of each quadratic function. Then graph the function. 36. y = 3x2 – 3x – 2

Answer 1

the given equation is

$y=3x^2-3x-2$

now we re-arrange the above equation,

$\begin{gathered} y=3x^2-3x-2 \\ \frac{y}{3}=x^2-x-\frac{2}{3} \end{gathered}$

add 1/4 both side.

$\frac{y}{3}+\frac{1}{4}=x^2-x+\frac{1}{4}-\frac{2}{3}$$\begin{gathered} \frac{y}{3}+\frac{1}{4}=(x-\frac{1}{2})^2-\frac{2}{3} \\ \frac{y}{3}+\frac{11}{12}=(x-\frac{1}{2})^2 \end{gathered}$