Pre-Calculus Holiday Assignment

Please come to class on the first day back with this information fully reviewed. Youtube and Kahn Academy both have excellent videos to reference this material, all of which was taught in Algebra 2. You may want to watch and do other practice problems to ensure you have fully reviewed the material. There will be a quiz on the 3rd day back.

Topics to search for videos:

Solving Rational EquationsSolving quadratics using the quadratic formula

Solving quadratics by factoringSolving quadratics by square roots

The basic shapes of absolute value, quadratic, cubic, square root and cube root functions

Graph transformations (horizontal, vertical, stretching, compressing, reflection)

Solve the equation and check your solution. If not possible, explain why.

1. 2.

Solve the quadratic equation for x by factoring.

3. 4.

Solve the equation by extracting square roots. List both the exact solution and the decimal solution rounded to four decimal places.

Use the Quadratic Formula to solve the equation.

Find all real solutions of the equation. Check your solution(s) in the original equation.

7. 8.

9. 10.

11. Use the graph of to write an equation for each function whose graph is shown.

12. Use the graph of to write an equation for each function whose graph is shown.

13. Identify the common function and the transformation shown in the graph. Write an equation for the function shown in the graph.

14. Write an equation for the function that is described by the given characteristics.

a)The shape of , but moved 2 units to the right and 8 units down.

b)The shape of , but moved 13 units to the right.

c)The shape of , but moved 10 units up then reflected in the x-axis.

Use the graph of to write an equation for each function whose graph is shown.

Identify the common function and the transformation shown in the graph. Write an equation for the function shown in the graph. Then use a graphing utility to verify your answer.