91Ó°ÊÓ

graph each equation in a rectangular coordinate system. $$x=5$$

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

In Exercises \(53-64,\) complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}-10 x-6 y-30=0$$

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

In Exercises \(53-64,\) complete the square and write the equation in standard form. Then give the center and radius of each circle and graph the equation. $$x^{2}+y^{2}-6 y-7=0$$

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. $$2 x+3 y-18=0$$

a. Rewrite the given equation in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function. $$8 x-4 y-12=0$$

Explain how to graph an equation in the rectangular coordinate system.

What does a \([-20,2,1]\) by \([-4,5,0.5]\) viewing rectangle mean?

The figure shows water running into a container in the shape of a cone. The radius of the cone is 6 feet and its height is 12 feet. Express the volume of the water in the cone, \(V\), as a function of the height of the water, \(h\)