Period 2 Alg II quadratics study guide

Looks like we will have 6-8 questions on our quadratics test.

On it, you will show that you can:

solve any quadratic equation - both real and imaginary answers
graph any quadratic equation
solve a quadratic application problem by developing a strategy (table, guess and check, create equation, graph) and find a solution
write an equation given the solutions of the function
be able to graph a function given the transformations to the parent function


Some application possibilities are:

finding the maximum height of a projectile
finding how long a projectile is in the air
building a pen from fencing to hold your elephants and snakes

1. Write an equation that has solutions x = -4, 6
2. solve:  x^2 = -8x -15
3. solve:  y =  2x^2 +19x + 24
4. solve:  x^2 -10x = 11
5. solve:  2(x+2)^2 = 22
6. Find domain and range for y = -x^2 +6
7. graph:  f(x) = -3x^2 + 12x -5
8. How high does a ball go up if its path is modeled by h(x) = -16x^2 + 160x   where x is horizontal distance and h is height.
9.   You have 1,000 feet of fencing to make 2 pens to hold animals.  What is the maximum area you can make from this amount of fencing.