Modeling with Quadratic Functions Answers

An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. The function representing the mirror is graphed on the left. Which function models the situation?

⇒ -3

Which values complete the function?

✔ 3412

3✔ 412

A soccer ball is kicked into the air, and its path can be modeled with a quadratic function. The table shows the time, t, in seconds, and the height of the soccer ball, h, in feet.

Question text not available

Evaluate Jessica’s work and Sally’s review to determine which statement is true.

An image of a parabolic lens is projected onto a graph. The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Which equation models the function?

The population, y, of a small town can be represented using a quadratic model. The maximum population, 6,000 people, occurred 20 years after record keeping began. Five years later, the population was 5,950. If x represents the number of years after record keeping began, which equation represents the given scenario?

The curve produced by the water coming from a hose is sketched onto a graph with zeros at 0 and 5. The point (4, 1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and x represents the horizontal distance, which statements are true? Check all that apply.The scenario can be represented by the function h(x) = –0.25(x)(x – 5). The scenario can be represented by the function h(x) = (x)(x + 5).The vertex is on the line x = 2.5.The greatest height that the water reaches is 1.5 units.The scenario can be represented by the function h(x) = –1(x – 5).

⇒ 12.5

Which values complete the function?