Assessment
essay
note: your teacher will grade your response to ensure you receive proper credit for your answer.
17. a quadratic equation can be written in vertex form or in standard form. sometimes one form is
more beneficial than the other. identify which form would be more if you needed to do
each task listed below and explain why.
a. factor the equation.
b. graph the parabola.
c. identify the vertex, minimum, or maximum of the parabola
d. solve the equation using the quadratic formula

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?