Compared with the graph of the parent function, which equation shows only a vertical compression by a factor of 1/3 and shift downward of 4 units?

Step-by-step explanation:

We are given cube roots in the given options.

So, the parent function would be .

First transformation need to apply is vertical compression by a factor of 1/3.

According to transformation's rule y=k f(x)  is the vertical compression by a factor of k if 0<k<1.

And second transformation is shift downward of 4 units.

According to transformation's rule y=f(x) -d, would shift d units down.

Therefore,

would be vertical compression by a factor of 1/3 and shift downward of 4 units.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it