Consider the line y = x . if the line is dilated by a factor of 2, what is the equation of the resulting line? if the resulting line is translated 3 units up, what is the equation of the resulting line?

Remember, if f(x) is a function, then

1. We can move up or down f(x) adding a constant c to the whole function, that is, f(x)+c is the function f(x) translated c units up if c is positive or c units down if c is negative.

2. We can compress or dilate f(x) multiplying the whole function by a factor c, that is, cf(x) is the function dilated by a factor of c if or cf(x) is he function compress by a factor of c if .

Then, if y=f(x)=x

1. The equation of f(x) dilated by a factor of 2 is

2. The equation of f(x) translated 3 units up is

a

step-by-step explanation:

the answer is a

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,