Graph the parabola:

Question

y=(x-3)^2-3.

Answer 1

The equation is .

The above equation represent the parabola.

Compare the equation with standard from from the of the equation of a parabola with vertex (h, k) and axis of symmetry x=h is .

Vertex (h, k) = (3, 3), and axis of symmetry h = 3.

Make the table of values to find ordered pairs that satisfy the equation.

Choose values for x and find the corresponding values for y.

x		(x, y)
2
3
4
5

1.Draw a coordinate plane.

2.Plot the coordinate points.

3.Then sketch the graph, connecting the points with a smooth curve.

The points are also on the parabola.

The graph is shifted right 3 units from the origin (0, 0), and the vertex is (3, -3).

Answer 2

The graph of  y = ( x - 3 )²- 3.

The graph is shifted right 3 units from the graph of y = ( x - 3 )²- 3,

and the vertex is (3, 3)