Problem 1
Simplify each number by using the imaginary number \(i\) $$ \sqrt{-4} $$
Problem 1
Solve each equation by factoring. Check your answers. $$ x^{2}+6 x+8=0 $$
Problem 2
Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ y=2 x^{2}-(3 x-5) $$
Problem 3
Simplify each number by using the imaginary number \(i\) $$ \sqrt{-15} $$
Problem 3
Find the GCF of each expression. Then factor the expression. $$ x^{2}-2 x $$
Problem 7
Determine whether each function is linear or quadratic. Identify the quadratic, linear, and constant terms. $$ h(x)=(3 x)(2 x)+6 $$
Problem 11
Graph each function. Label the vertex and the axis of symmetry. $$ y=-x^{2}+2 x+1 $$
Problem 12
Graph each function. Label the vertex and the axis of symmetry. $$ y=x^{2}+4 x+1 $$
Problem 17
Solve each equation by factoring or by taking square roots. $$ 2 x^{2}=8 x $$
Problem 19
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 \(\mathrm{ft}\) ?