For each function, identify the horizontal translation of the parent function f(x) = x^2 then graph the function. y = (x+5)^2

The horizontal translation is a shift 5 units to the left.

Step-by-step explanation:

When inside of parentheses, you do the opposite. So, positive numbers go left, and negative numbers go right.

The graph is parabolic (x²), so you'll start at point (5, 0) when you graph it or select the proper graph.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.