Question

Write the coordinate rule with the given center and scale factor (k). Center: (6,2), k=3.5

Answer 1

The coordinate rule is $(3.5x-15,3.5y-5)$

Explanation:

The center is given by $(6,2)$

The scale factor is $k=3.5$

We need to determine the coordinate rule with the given center and scale factor.

Let us consider the vertex as $(x,y)$

The translation of the center is given by

$(x-6,y-2)$

Let us multiply the scale factor 3.5.

Thus, we have,

$(3.5(x-6),3.5(y-2))$

Simplifying the terms, we have,

$(3.5x-21,3.5y-7)$

Translating back, we get,

$(3.5x-21+6,3.5y-7+2)$

Simplifying the terms, we have,

$(3.5x-15,3.5y-5)$

Thus, the coordinate rule is $(3.5x-15,3.5y-5)$