Lorene plans to make several open-topped boxes in which to carry plants. she makes the boxes from rectangular sheets of cardboard from which she cuts out 4-in squares from each corner. the length of the original piece of cardboard is 8 in more than the width. if the volume of the box is 336 in3, determine the dimensions of the original piece of cardboard. 4in x 4in x8

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

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: