How is the graph of y=-1/3x related to its parent function y=1/x a. it is horizontally stretched by a factor of 3 and reflected over the x-axis. b. it is horizontally stretched by a factor of 3 and reflected over the y-axis. c. it is horizontally compressed by a factor of 3 and reflected over the x-axis. d. it is horizontally compressed by a factor of 3 and reflected over the y-axis.

OPTION C.

Step-by-step explanation:

Some tranformations for a function f(x):

If , and , then the function is vertically compressed by a factor of "b".

If , and , then the function is vertically stretched by a factor  of "b".

If , and , then the function is horizontally compressed by a factor of "b".

If , and , then the function is horizontally stretched by a factor  of "b"

If , then the function is reflected over the x-axis.

If , then the function is reflected over the y-axis.

Given the function and the parent function , you can observe that:

The function is the function but horizontally compressed by a factor of 3 and reflected over the x-axis.

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Step-by-step explanation:

Let A be the number of cards Alan has

B be the number of cards Bill has

C be the number of cards Calvin has

Alan had 11 less than 2 1/2 times the number of cards bill has.

is 2.5

Alan is 2.5 of bill has minus 11

A=2.5B -11

Calvin has 1 more than 1 1/2 times the number of cards bill has.

is 1.5

Calvin is 1.5 of bill has plus 1

C=1.5B + 1

Alan and Calvin have the same number of cards

So A=C

WE plug in A and C equations and solve for B

2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)

1B -11 = 1 (Add 11 on both sides)

B = 12

If Alan and Calvin have the same number of cards, the number bill has is 12

The number of cards Alan and Calvin each have is 19

Total cards = 12 + 19 + 19 = 50

If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards.