Investigating Quadratic Functions In General Form (Page 3 of 4) in pdf

Investigating Quadratic Functions In General Form Page 3

Example 2: For each graph of a quadratic function identify the following:







f x

( ) 2

a. The direction of opening: ______________________

b. The coordinates of the vertex: __________________

c. The maximum or minimum value: ________________

d. The equation of the axis of symmetry: ____________

e. The x-intercepts and y-intercepts: _______________

f. The domain and range: ________________________

Example 3: A frog sitting on a rock jumps into a pond. The height, h, in centimeters, of

the frog above the surface of the water as a function of time, t, in seconds, since it

jumped can be modeled by the function h(t) = -490t

+ 150t + 25. Where appropriate,

answer the following questions to the nearest tenth.

a) Graph the function on your graphing calculator.

b) What is the y-intercept? What does it represent in this situation?

c) What maximum height does the frog reach? When does it reach that height?

d) When does the frog hit the surface of the water?

e) How high is the frog 0.25 seconds after it jumps?

Investigating Quadratic Functions In General Form Page 3