Let f(x)=6x. the graph of f(x) is transformed into the graph of g(x) by a vertical compression of 13 and a translation of 2 units up. what is the equation for g(x)? enter your answer in the box.

The equation of g(x) is .

Explanation:

The given equation is,

If the graph of function f(x) is stretched by k then g(x) = kf(x) and if the graph of the function f(x) is compressed by k then .

If the graph of function f(x) is translated upward by p units then g(x) = f(x)+p and if the graph of the function f(x) is translated downward by p units  then .

It is given that the graph of f(x) is transformed into the graph of g(x) by a vertical compression of 13 and a translation of 2 units up.

Therefore, the the equation for g(x) is .

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3