D Block: Summative Assessment - Solving Quadratics

Graph the equation:

f(x) = $$2x^2+4x+4$$

Graph the following:

y = $$-x^2-4x-3$$

What was maximum height the ball was reached? ​ ​ (a)  

How long does it take the ball to reach the maximum height?​ (a)  

How long does it take for the ball to hit the ground?​ (a)  

How high was the ball when it was thrown?​ (a)  

Solve the quadratic equation:

y = $$c^2+12c+20$$ .

Either ​ (a)   ​ or (b)  

Solve the equation:

0 = $$11g^2-8g+7$$ .

The solutions are ​ (a)   ​ or (b)  

Lily jumped off of a cliff into the ocean while vacationing in Hawaii. Her dive can be modeled by the equation y = $$-16x^2+16x+5$$ .

Tayrn decides she want to participate in a cliff diving competition in Venezuela. She dives off of a platform 50 feet above the water and the equation $$y=-16x^2+64x+50$$ models the path of her dive. Her maximum height is reached in ​ (a)   , her maximum height was ​ (b)   and she hits the water in ​ (c)   .