The geometric mean of 8 and 2 is

4

Step-by-step explanation:

The geometric mean finds the typical value of a set of numbers through multiplication. To find the geometric mean of two numbers, you take the square root of the product of the two numbers.

So in this instance, multiply the two numbers together:

And take the positive square root of the product:

The geometric mean is different than the commonly-used arithmetic mean, which finds the central value of a set of numbers by dividing the set's sum total by how many numbers are in the set.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.