Question

Graph the parabola.y=x2-6x+6Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex, Then click on the graph-a-functionbutton

Answer 1

The given equation is:

$\begin{gathered} y=x^2-6x+6 \\ y=x^2-6x+9-3 \\ y+3=(x-3)^2 \end{gathered}$

Hence the vertex of the parabola is at (3,-3).

The two points to the left of the vertex of the parabola are (0,6) and (2.-2).

The two points to the right of the vertex of the parabola are (6,6) and (5.1).

The graph is shown below: