1.For the following quadratic equation, show how both the factoring method and the completing the square method give the same solutions.

2.Write the steps you would use to solve the following quadratic equation.Show two different methods.

3.Suppose you throw a ball straight up from the ground with a velocity of 80 ft/s. As the ball moves upward, gravity slows it. Eventually the ball begins to fall back to the ground. The heighthof the ball aftertseconds in the air is given by the quadratic functionh(t)=16t²+80t.

a) How high does the ball go?

b) For how many seconds is the ball in the air before it hits the ground?