Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is:
Let the sides of Juan's triangle be x, y and z. So:
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
This gives:
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
Substitute 25 for J
Hence, the numerical expression for the perimeter of Stephanie's triangle is:
Read more about perimeters at: