Chapter 5

Solve each equation by finding square roots. $$ 5 x^{2}=80 $$

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

Graph each function. Identify the axis of symmetry. $$ y=(x-5)^{2}-3 $$

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ h(x)=(3 x)(2 x)+6 $$

Graph each function. $$ y=\frac{1}{2} x^{2}+3 $$

Solve each equation using the Quadratic Formula. $$ x^{2}+6 x-5=0 $$

Simplify each number by using the imaginary number \(i\) $$ 3 \sqrt{-9} $$

Solve each equation by finding square roots. $$ x^{2}-4=0 $$

Factor each expression. $$ x^{2}+5 x+6 $$

Graph each function. Identify the axis of symmetry. $$ y=(x+2)^{2}-3 $$

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=x(1-x)-\left(1-x^{2}\right) $$

Graph each function. $$ y=\frac{1}{4} x^{2}-3 $$

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

Simplify each number by using the imaginary number \(i\) $$ -\sqrt{-100} $$

Solve each equation by finding square roots. $$ 2 x^{2}=32 $$

Factor each expression. $$ x^{2}+7 x+10 $$

Graph each function. Identify the axis of symmetry. $$ y=-(x-1)^{2}+4 $$

Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ f(x)=-x(2 x+8) $$

Graph each function. $$ y=-2 x^{2}+\frac{3}{4} $$

Solve each equation using the Quadratic Formula. $$ 8 x^{2}-2 x-3=0 $$

Simplify each number by using the imaginary number \(i\) $$ \sqrt{-72} $$

Solve each equation by finding square roots. $$ 9 x^{2}=25 $$

Factor each expression. $$ x^{2}+10 x+16 $$

Graph each function. Identify the axis of symmetry. $$ y=3(x+5)^{2}-8 $$

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

Solve each equation using the Quadratic Formula. $$ x(x-5)=-4 $$

Write each number in the form \(a+b i\) $$ 2+\sqrt{-3} $$

Solve each equation by finding square roots. $$ 3 x^{2}-15=0 $$

Factor each expression. $$ y^{2}+15 y+36 $$

Graph each function. Identify the axis of symmetry. $$ y=-(x-7)^{2}+10 $$

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

Solve each equation using the Quadratic Formula. $$ 9 x^{2}+12 x-5=0 $$

Solve each equation by finding square roots. $$ 5 x^{2}-40=0 $$

Factor each expression. $$ x^{2}+22 x+40 $$

Graph each function. Identify the axis of symmetry. $$ y=-4(x+8)^{2}-6 $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=x^{2}+4 x+1 $$

Solve each equation using the Quadratic Formula. $$ x^{2}-6 x+11=0 $$

Solve each quadratic equation by completing the square. $$ x^{2}-3 x=28 $$

Write each number in the form \(a+b i\) $$ 6-\sqrt{-28} $$

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

Graph each function. Label the vertex and the axis of symmetry. $$ y=x^{2}+6 x+9 $$

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

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

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

Write each number in the form \(a+b i\) $$ \sqrt{-4}+3 $$

Solve each equation by factoring or by taking square roots. $$ 6 x^{2}+4 x=0 $$

Factor each expression. $$ x^{2}-13 x+12 $$

Graph each function. Label the vertex and the axis of symmetry. $$ y=x^{2}+6 x+9 $$

Solve each equation using the Quadratic Formula. $$ x^{2}+3 x+5=0 $$

Solve each quadratic equation by completing the square. $$ x^{2}+6 x+41=0 $$