Sketch each parabola, labeling its focus and directrix. y=(1/10)(x-1)²-2

The equation of parabola is

Comparing with the vertex form of the parabola:

Hence, the vertex of the parabola is given by (h,k) = (1, -2)

Now, vertex is the midpoint of the focus and the point on the directrix.

Distance, between vertex and focus is p and that of point on the directrix is p.

Now, let us find p

Thus, the focus is given by

And the directrix is given by

Since, a >0 hence, it is an upward parabola.

The graph is shown in the attached file.

a

step-by-step explanation: