where positive values of a translates the graph in the positive y direction (i.e up) and negative values of a translates the graph in the negative y direction (i.e down)

Horizontal translations by "b" units are given by

f(x-b),

where negative values of a translates the graph in the negative x direction (i.e left) and postive values of a translates the graph in the postive x direction (i.e right)

if we combine the two above, we get the expression

g(x) = f(x-b) + a

In our case, we see that to get from the blue graph to the red graph, we need to translate 3 units in the positive x-direction (i.e b = 3) and 4 units in the negative y-direction (i.e a = -4)

Substituting b = 3, a = -4 and that f(x) = |x|,

we get

g(x) = |x-(3)| - 4

g(x) = |(x-3)| - 4

7 0

2 years ago

I have an image of the problem

dybincka [34]

Find the area of the circle:

Area = 3.14 x 12^2 = 3.24x144 = 452.16 cm^2

The sector is 60 degrees.

Multiply the area of the circle by the fraction of the sector:

452.16 x 60/360 = 75.36 cm^2

8 0

2 years ago