Analyzing Polynomial Functions 4 Objectives 2 i and

Analyzing Polynomial Functions 4 Objectives 2 i and 2 k

OBJECTIVES 4 2 i Determine the solutions to quadratic equations by using graphing, tables, completing the square, the quadratic formula, and to include real-life applications. (DOK 1) 4 2 k Graph and analyze quadratic functions to include relating x intercepts to solutions and real-life applications.

Kangaroo Jump 4 The height of a kangaroo can be modeled by the quadratic function: 4 h(t) = -16 t 2 + 24 t 4 where h is the height in feet the kangaroo jumps at a given time t in seconds. 4 What is the dependent variable? 4 What is the independent variable?

h(t) = -16 t 2 + 24 t 4 What are the x-intercepts and what information do they provide? 4 What is the y-intercept and what information does it provide? 4 What is the vertex and what information does it provide? 4 What is the range of the function? 4 What is the domain of the function ?

Projectiles 4 A projectile is fired vertically upward from a point above the ground, modeled by the function h(t) = -16 t 2 + 76 t + 20, where t is measured in seconds and h is measured in feet.

h(t) = -16 t 2 + 803 t + 600 4 What is the x-intercept and what information does it provide? 4 What is the y-intercept and what information does it provide? 4 What is the vertex and what information does it provide? 4 Domain & Range ?

Population Growth 4 The population growth of a certain species of bacteria can be modeled by a quadratic function, 4 P(t) = 0. 5 t 2 -7 t + 50 4 where t the time measured in minutes and p is the population measured in hundreds. 4 During the first few minutes of observation, the population decreases, but then begins to increase again over time. 4 Interpret what the ordered pair (2, 38) means for this model.

P(t) = 0. 5 t 2 -7 t + 50 4 What is the x-intercept and what information does it provide? 4 What is the y-intercept and what information does it provide? 4 What is the vertex and what information does it provide? 4 If the bacteria growth was observed for 20 minutes, what was the initial population and what was the ending population? 4 Domain & Range and what do they mean ?

Application Poster Lab 4 ***Ms. Coon