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 \\ (y)/(3)=x^2-x-(2)/(3) \end{gathered}`

add 1/4 both side.

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