Adilation is applied to △abc to create △def. the side lengths of the two triangles are as follows: ab=6, bc=12, ac=15, de=8, ef=16, and df=20. because the dilation factor is this dilation is a(n)

The dilation factor is 1.33, this dilation is an enlargement.

Step-by-step explanation:

A dilation is transformation of figures that creates similar figures but of different sizes.It uses dilation factor (k) to either reduce or enlarge the figure.When |k| <1 then there is reduction in size of the original figure.When |k|>1 then there is enlargement in size of the original figure.When |k| =1 then there is no change in size.

Given : A dilation is applied to △ABC to create △DEF.

Since , dilation creates similar figures .

⇒ △ABC≈ △DEF

here , AB corresponds to DE.

BC corresponds to EF.

AC corresponds to DF.

The side-length of corresponding side in image= k x (original length) , where k is dilation factor.

⇒ DE = k (AB)

Since , the dilation factor 1.33> 1 , therefore it is an enlargement.

Hence, the dilation factor is 1.33, this dilation is an enlargement.

Writing an equation in function notation, with x as the independent variable is the same as solving the equation for y.

So, we start with

and we move to the right hand side, i.e. we add to both sides: