91Ó°ÊÓ

Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}-4 x-12 y-9=0$$

Begin by graphing the standard quadratic function, \(f(x)=x^{2}.\) Then use transformations of this graph to graph the given function. $$g(x)=(x-1)^{2}$$

evaluate each piecewise function at the given values of the independent variable. \(g(x)=\left\\{\begin{array}{ll}{x+5} & {\text { if } x \geq-5} \\ {-(x+5)} & {\text { if } x<-5}\end{array}\right.\) a. \(g(0)\) b. \(g(-6)\) c. \(g(-5)\)

Graph each equation in a rectangular coordinate system. $$ f(x)=3 $$

Graph each equation in a rectangular coordinate system. $$ 3 x-18=0 $$

Find a. \((f \circ g)(x)\) b. \((g \circ f)(x)\) c. \((f \circ g)(2)\) d. \((g \circ f)(2)\) $$f(x)=x^{2}+2, g(x)=x^{2}-2$$

evaluate each piecewise function at the given values of the independent variable. $$h(x)=\left\\{\begin{aligned} \frac{x^{2}-9}{x-3} & \text { if } x \neq 3 \\\ 6 & \text { if } x=3 \end{aligned}\right.$$ a. \(h(5)\) b. \(h(0)\) c. \(h(3)\)

Begin by graphing the standard quadratic function, \(f(x)=x^{2}.\) Then use transformations of this graph to graph the given function. $$h(x)=-(x-2)^{2}$$

Complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$ x^{2}+y^{2}+8 x-2 y-8=0 $$

Begin by graphing the standard quadratic function, \(f(x)=x^{2}.\) Then use transformations of this graph to graph the given function. $$h(x)=-(x-1)^{2}$$