Estimate the coordinates of the vertex for each parabola by graphing the equation on a graphing calculator. Then use $x=-\frac{b}{2 a}$ to find the coordinates. $y=2 x^{2}-3 x+4$

Find the distance between points with the given coordinates. $(3,5),(-6,0)$

Simplify. $(-5 i)(-8 i)$

Solve by completing the square. Check your solutions. $3 x^{2}-5 x-2=0$

What conclusion can you draw about the maximum range of the cannon?

Solve each equation by using the Square Root Property. Round to the nearest hundredth if necessary. $x^{2}-3 x+\frac{9}{4}=6$

Solve each equation. Check your solution. $\sqrt{x^{2}+9 x+15}=x+5$

Use the equation $u t-16 t^{2}=0$, where v=velocity in feet per second and t=time in seconds. A rocket at a fireworks display was launched with the initial velocity of 208 ft/sec. How many seconds was it in the air before it splashed down in the lake?

Complete parts a-c for each quadratic equation. a. Find the value of the discriminant. b. Describe the number and type of roots. c. Find the exact solutions by using the Quadratic Formula. $6 x^{2}+5 x-1=0$

Calculate the midpoint of the segment with the given endpoints. $G(5,3), H(-5,-3)$

Simplify. $4 i(-6 i)^{2}$

If $f(x)=a x^{2}+b x+c$ is a quadratic function, can a=0?

Complete parts a-c for each quadratic equation. a. Find the value of the discriminant. b. Describe the number and type of roots. c. Find the exact solutions by using the Quadratic Formula. $4 x^{2}-6 x+2=0$

Simplify. $\sqrt{-225}$