Find the area of the region. Use a graphing utility to verify your result.

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:

answer: correct

step-by-step explanation:

your answer is b.

step-by-step explanation:

the 2 points are: (3,1) and (6,6)

first, let's find the slope:

(6-1)/(6-3) = 5/3

then let's plug this into the point-slope formula:

y - 1 = 5/3(x - 3)

this is your answer! the below is just the simplified form.

y - 1 = 5/3x - 5

y = 5/3x - 4