Chapter 5

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=-x^{2}+2 x+5 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 3 x^{2}-10 x+5=0 $$

Solve each quadratic equation by completing the square. $$ 3 x^{2}-12 x+7=0 $$

Find the absolute value of each complex number. $$ |3-6 i| $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ 6 x^{2}=-19 x-15 $$

Factor each expression. $$ x^{2}+10 x-75 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=24(x+5.5)^{2} $$

Determine whether a quadratic model exists for each set of values. If so, write the model. $$ f(-2)=16, f(0)=0, f(1)=4 $$

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=3 x^{2}-4 x-2 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 3 x^{2}+4 x-3=0 $$

Solve each quadratic equation by completing the square. $$ 4 c^{2}+10 c=-7 $$

Find the additive inverse of each number. $$ 4 i $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ 3 x^{2}-5 x-4=0 $$

Factor each expression. $$ t^{2}-7 t-44 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=0.0035(x+1)^{2}-1 $$

Determine whether a quadratic model exists for each set of values. If so, write the model. $$ f(0)=5, f(2)=3, f(-1)=0 $$

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=-2 x^{2}-3 x+4 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 6 x^{2}-5 x-1=0 $$

Solve each quadratic equation by completing the square. $$ 2 x^{2}+x-28=0 $$

Find the additive inverse of each number. $$ 5-3 i $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ 5 x^{2}-7 x-3=8 $$

Factor each expression. $$ 3 x^{2}+31 x+36 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=-(x-4)^{2}-25 $$

Determine whether a quadratic model exists for each set of values. If so, write the model. $$ f(-1)=-4, f(1)=-2, f(2)=-1 $$

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=\frac{1}{3} x^{2}+2 x+5 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 7 x^{2}-x-12=0 $$

Solve each quadratic equation by completing the square. $$ 9 x^{2}-12 x+5=0 $$

Find the additive inverse of each number. $$ 9+i $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ 6 x^{2}+31 x=12 $$

Factor each expression. $$ 2 x^{2}-19 x+24 $$

Identify the vertex and the \(y\) -intercept of the graph of each function. $$ y=(x-125)^{2}+125 $$

Determine whether a quadratic model exists for each set of values. If so, write the model. $$ f(-2)=7, f(0)=1, f(2)=0 $$

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=-x^{2}-x+6 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 5 x^{2}+8 x-11=0 $$

Solve each quadratic equation by completing the square. $$ 4 x^{2}+4 x=3 $$

Find the additive inverse of each number. $$ -3-2 i $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ 1=4 x^{2}+3 x $$

Factor each expression. $$ 5 r^{2}+23 r+26 $$

Write each function in vertex form. $$ y=x^{2}-4 x+6 $$

Graph each function. If \(a>0\) find the minimum value. If \(a<0\) find the maximum value. $$ y=2 x^{2}+5 $$

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 4 x^{2}+4 x=22 $$

Rewrite each equation in vertex form. $$ y=x^{2}+4 x-7 $$

Find the additive inverse of each number. $$ -4+7 i $$

Factor each expression. $$ 2 m^{2}-11 m+15 $$

Write each function in vertex form. $$ y=x^{2}+2 x+5 $$

Revenue A model for a company's revenue is \(R=-15 p^{2}+300 p+12,000\) where \(p\) is the price in dollars of the company's product. What price will maximize revenue? Find the maximum revenue.

Solve each equation using the Quadratic Formula. Find the exact solutions. Then approximate any radical solutions. Round to the nearest hundredth. $$ 2 x^{2}-1=5 x $$

Rewrite each equation in vertex form. $$ y=-x^{2}+4 x-1 $$

Simplify each expression. $$ (2+4 i)+(4-i) $$

Solve each equation by graphing. Give each answer to at most two decimal places. $$ x^{2}=4 x+8 $$