91Ó°ÊÓ

For each of the following functions, first sketch the graph of its associated function, \(f(x)=x^{2}, f(x)=x^{3},\) or \(f(x)=|x|\) Then draw the graph of function g using trans/ations and/or a reflection. See Examples 7 and 8 . $$ g(x)=(x+2)^{2}-1 $$

Find \(g(2)\) and \(g(3)\). \(g(x)=x^{2}-10\)

Solve each problem. If \((-7,-3)\) is the midpoint of segment \(Q P\) and the coordinates of \(Q\) are \((6,-3),\) find the coordinates of \(P .\)

Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. $$ y=3 x+4, y=3 x-7 $$

Determine whether the lines are parallel, perpendicular, or neither. See Examples 5 and 6. A line passing through \((-2,-2)\) and \((-5,4)\) A line passing through \((-6,2)\) and \((-2,4)\)

For each of the following functions, first sketch the graph of its associated function, \(f(x)=x^{2}, f(x)=x^{3},\) or \(f(x)=|x|\) Then draw the graph of function g using trans/ations and/or a reflection. See Examples 7 and 8 . $$ g(x)=(x+1)^{3}-2 $$

Use a graphing calculator to graph each equation, and then find the \(x\) -coordinate of the \(x\) -intercept to the nearest hundredth. Determining the \(x\) -intercepts of a Graph. \(1.5 x-3 y=7\)

Determine whether the lines are parallel, perpendicular, or neither. See Examples 5 and 6. A line passing through \((-5,4)\) and \((5,4)\) A line passing through \((-6,-2)\) and \((3,-2)\)

Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither. $$ y=4 x-13, y=\frac{1}{4} x+13 $$

Use a graphing calculator to graph each equation, and then find the \(x\) -coordinate of the \(x\) -intercept to the nearest hundredth. Determining the \(x\) -intercepts of a Graph. \(0.3 x+y=7.5\)