Consider the square pyramid shown. if each dimension is doubled, how does the surface area change? the surface area doubles. the surface area triples. the surface area increases by 4 times. the surface area increases by 8 times.

Surface area of a square pyramid
A = b² + (2 * b * s)

Where,
b = Base length
s = Slant Height

Assume, 
b = x
s = y

A = x² + (2 * x * y)
= x² + 2xy

If all dimensions are doubled
b = 2x
s = 2y

A = (2x)² + (2 * 2x * 2y)
A = 4x² + 8xy
A = 4 (x² + 2xy)

∴  The surface area increases by 4 times
The correct answer is the third choice

Up 5

Left 3

Step-by-step explanation:

f(x) = x^2                   This is the "parent" or base equation

g(x) = (x + 3)^2 + 5    This is the equation after translation

When translating or shifting parabolas the value within the parentheses

    moves it's vertex left or right. If It is positive it moves left, negative moves

    right.  

     (x + 3)^2 + 5 moves the vertex 3 places to the left

When translating or shifting parabolas the value outside the parentheses

    moves it's vertex up or down. If It is positive it moves up, negative moves

    down.  

    (x + 3)^2 + 5   moves the vertex up 5