91Ó°ÊÓ

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

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. $$ y=3 x^{2}-4 x-2 $$

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

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

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

Physics The equation for the motion of a projectile fired straight up at an minitial velocity of \(64 \mathrm{ft} / \mathrm{s} h=64 t-16 t^{2}\) , where \(h\) is the height in feet and \(t\) is the time in seconds. Find the time the projectile needs to reach its highest point. How high it will go?

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

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

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