Can you give an example of a function for which a horizontal translation gives the same resulting graph as a vertical translation? explain.

Any linear function, like f(x) = 3x +2

Step-by-step explanation:

Translating this function to the right 1 unit gives ...

... f(x -1) = 3(x -1) +2 = 3x -1

Translating this function down 3 units gives ...

... f(x) -3 = (3x +2) -3 = 3x -1

You will note that the chosen horizontal translation produces the same result as the chosen vertical translation.

The corresponding translations are related to the slope of the graph. For a linear function, the slope is the same everywhere, so the necessary vertical and horizontal translations that map the function to itself are the same everywhere.

binomial distribution

median= 2

range = 7-0 = 7

how to find median?

no. of term=28

median=(28+1)/2=14.5th term

the 14th and 15th term are 2, therefore the median is (2+2)/2 = 2

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.