Applications of Quadratic Functions Guided Notes + Homework

Determine a quadratic function's starting value, maximum value, and when it returns to zero, working both from a graph and algebraically from the equation.

Select the domain that fits a quadratic function's real-world context (e.g., time cannot be negative) from a set of plausible options.

Interpret the meaning of a specific ordered pair on a quadratic graph in terms of the original real-world scenario, such as a cost-function's output.

Work through the first projectile-motion example (the water balloon) together as a class, since the notes explicitly list the four recurring question types before moving into independent problems.

Use the paired graphical and algebraic sections in the guided notes to compare methods, then follow the directions on questions that ask for algebraic work only.

Assign the two-page homework only after the guided notes' profit and cost sections, since its four problems include three projectile-motion situations and one profit scenario rather than repeating just one type.

Interpreting quadratic graphs in context — students read a function's starting height, maximum height, and ground-impact time from a graph of projectile motion.

Vertex and intercept interpretation — students find and explain the real-world meaning of a function's maximum/minimum point, such as a business's maximum profit or minimum cost.

Function evaluation — students substitute specific input values (like a price of $60 or $100) into a quadratic function to find the corresponding output.