Chapter 5

Write each number in the form \(a+b i\) $$ 7-\sqrt{-25} $$

Solve each equation by factoring or by taking square roots. $$ 12 x^{2}-147=0 $$

Factor each expression. $$ r^{2}-11 r+18 $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=2 x^{2}+4 x $$

Solve each equation using the Quadratic Formula. $$ 2 x^{2}+8 x+12=0 $$

Solve each quadratic equation by completing the square. $$ x^{2}-2 x=-2 $$

Write each number in the form \(a+b i\) $$ \sqrt{-1}+2 $$

Solve each equation by factoring or by taking square roots. $$ 3 x^{2}=48 $$

Factor each expression. $$ x^{2}-10 x+24 $$

Find a quadratic function that includes each set of values. $$ (1,-2),(2,-2),(3,-4) $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=4 x^{2}-12 x+9 $$

Solve each equation using the Quadratic Formula. $$ x^{2}-2 x+3=0 $$

Solve each quadratic equation by completing the square. $$ w^{2}-8 w-9=0 $$

Write each number in the form \(a+b i\) $$ -\sqrt{-50}-2 $$

Solve each equation by factoring or by taking square roots. $$ 2 x^{2}=8 x $$

Factor each expression. $$ d^{2}-12 d+27 $$

Find a quadratic function that includes each set of values. $$ (1,-2),(2,-4),(3,-4) $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=-6 x^{2}-12 x-1 $$

Solve each equation using the Quadratic Formula. $$ 3 x^{2}+4 x+10=0 $$

Solve each quadratic equation by completing the square. $$ x^{2}+6 x=-22 $$

Write each number in the form \(a+b i\) $$ \sqrt{-72}+4 $$

Solve each equation by factoring or by taking square roots. $$ 4 x^{2}-80=0 $$

Factor each expression. $$ x^{2}-13 x+36 $$

Find a quadratic function that includes each set of values. $$ (-1,6),(1,4),(2,9) $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=-\frac{3}{4} x^{2}+6 x+6 $$

Solve each equation using the Quadratic Formula. $$ -x^{2}+5 x-7=0 $$

Solve each quadratic equation by completing the square. $$ x^{2}+4=0 $$

Find the absolute value of each complex number. $$ |2 i| $$

Firefighters A smoke jumper jumps from a plane that is 1700 \(\mathrm{ft}\) above the ground. The function \(y=-16 t^{2}+1700\) gives the jumper's height \(y\) in feet at seconds. a. How long is the jumper in free fall if the parachute opens at 1000 \(\mathrm{ft}\) ? b. How long is the jumper in free fall if the parachute opens at 940 \(\mathrm{ft}\) ?

Factor each expression. $$ x^{2}-5 x-14 $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=3 x^{2}-12 x+10 $$

Solve each equation using the Quadratic Formula. $$ 2 x^{2}=7 x-8 $$

Solve each quadratic equation by completing the square. $$ -x^{2}-2 x=5 $$

Find the absolute value of each complex number. $$ |5+12 i| $$

Solve each equation using tables. Give each answer to at most two decimal places. $$ x^{2}+5 x+3=0 $$

Factor each expression. $$ x^{2}+x-20 $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=\frac{1}{2} x^{2}+2 x-8 $$

Solve each equation using the Quadratic Formula. $$ 15 x^{2}+2 x+1=0 $$

Solve each quadratic equation by completing the square. $$ 6 x-3 x^{2}=-12 $$

Find the absolute value of each complex number. $$ |2-2 i| $$

Solve each equation using tables. Give each answer to at most two decimal places. $$ x^{2}-7 x=11 $$

Factor each expression. $$ x^{2}-3 x-40 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=-1.5(x+20)^{2} $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=-4 x^{2}-24 x-36 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 2 x^{2}-5 x-3=0 $$

Solve each quadratic equation by completing the square. $$ 2 p^{2}=6 p-20 $$

Find the absolute value of each complex number. $$ |1-4 i| $$

Solve each equation using tables. Give each answer to at most two decimal places. $$ 2 x^{2}-x=2 $$

Factor each expression. $$ c^{2}+2 c-63 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=0.1(x-3.2)^{2} $$