Chapter 2.1, Problem 10PE

(a)

To determine

Whether the graph of the parabola, $k\left(x\right)=2{\left(x-3\right)}^2-2$ , opens upwards or downward.

(b)

To determine

The vertex of the parabola for the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(c)

To determine

The $x$ -intercept(s) of the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(d)

To determine

The $y$ -intercept of the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(e)

To determine

To graph: The parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(f)

To determine

The axis of the symmetry of the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(g)

To determine

The minimum or maximum value of the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ .

(h)

To determine

The domain and range of the parabolic function, $k\left(x\right)=2{\left(x-3\right)}^2-2$ , in the interval notation.