Michelle and D'Andre both opened bank accounts at the same time, D'Andre's account balance is shown in the graph. He started with $0 and
deposited the same amount each month. In the 4th month, he had $80
saved. Michelle opened her bank account on September 1st with $25 and
continues to deposit $25 each month,
D'Andre
Michelle
Michelle opened her bank
account on September 1st
with $25 and continues to
deposit $25 each month.
X
1. Use what you know about D'Andre's account to determine
the scale of each axis and interpret the origin on the graph.
Explain your reasoning.

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: