7. (F-IF.4) Analyze the graph. Describe whether each function could be used to model the graph. Explain your reasoning. Be specific. a. f1(x) = 3(x – 5)(x – 1)
b. f2(x) = 2(x + 4)2 – 5

50.6

step-by-step explanation:

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

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: