The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up three units. which function is representative of this transformation?

Step-by-step explanation:

we have

step 1

Reflecting the function f(x) over the x-axis

we know that

To reflect a function about the x-axis, multiply the function by -1

f(x) -----> -f(x)

so

step 2

Stretching the function f(x) vertically by a factor of two

To stretch a function vertically, multiply the function by two

f(x) -----> 2f(x)

step 3

Shifting the function f(x) up three units

To shift the function up, adds three units to the function

f(x) -----> f(x) +3

what does x eaqual

step-by-step explanation:

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 .