Unit 1 Review Unit 1 Topics Quadratics Revisited

Unit 1 Review

Unit 1 Topics – Quadratics Revisited v. Classify Numbers v. Complex Operations (add, subtract, multiply, divide, evaluate) v. Factor – GCF, Trinomials a=1 & a>1, DOTS/SOTS v. Solve by – Factoring, Square Roots, Completing the Square, Quadratic Formula v. Discriminant v. Quadratic Characteristics v. Applications v. Quadratic Inequalities

Classify the Numbers Natural Whole Integers Rational Irrational Real Imaginary Complex

Solve by Factoring

Solve the equation by taking square roots.

Solve the equation by completing the square.

Find the discriminant & determine the number & type of solutions. Discriminant is 64 2 real solutions

Solve by using the quadratic formula. 2 7 x – 1 = -2 x a = 7 b = 2 c = 1

Domain: _____ Range: _______ Extrema: ______ Axis of Sym: _____ Increasing: _____ Decreasing: _____ Y Intercept : ____ Solutions: ______ End Behavior:

You launched a model rocket with an initial speed of 64 feet per second a start height of 512. After how many seconds will the rocket hit the ground?

An object is projected into the air with a path described by the quadratic function: . where h is the height above the ground in feet and t is the time in seconds since the object started along the path. • What is the max height? • At what time does the object hit the ground? • At what time is the object at 112 ft?

A boy at a football game dropped his football 112 feet from the stands to the ground. The number of seconds, t, it took the football to reach the ground is modeled by the equation: . . How many seconds did it take the football to reach the ground? Round to the nearest tenth.

Homework Study Guide

Extra Review Page 315 #4 -19 (Skip 17) 24 -26, 30 -32 Page 318 #2 -8, #10 List 9 characteristics, #14 a, b, c