Question

three different athletic clubs offer different membership costs. the first club charges \\(25\\) per month. the second club charges \\(25\\) per month plus an application fee of \\(5\\). the third club charges \\(25\\) per month and offers a \\(20.00\\) reduction in the first months membership fees. write the equations that model the total cost of membership at the three clubs. describe how the second and third graphs are related to the graph of the first club.

the equation that models the total cost of membership at the first club is \\(f(x) = 25x\\).
the equation that models the total cost of membership at the second club is \\(g(x) = 25x + 5\\).
the equation that models the total cost of membership at the third club is \\(h(x) = 25x - 20\\).
(type expressions using \\(x\\) as the variable. simplify your answers. do not factor.)

describe how the second and third graphs are related to the graph of the first club.

the graph of \\(g\\) is the graph of \\(f\\) translated dropdown box units. the graph of \\(h\\) is the graph of \\(f\\) translated dropdown box units.

Explanation:

Analyze the relationship between \(g(x)\) and \(f(x)\)

$$
LATEXBLOCK0
$$

Analyze the relationship between \(h(x)\) and \(f(x)\)

$$
LATEXBLOCK1
$$

Answer:

The graph of g is the graph of f translated vertically up <blank>5</blank> units. The graph of h is the graph of f translated vertically down <blank>20</blank> units.