Consider function f below. f(x)=4^x-6 determine function g which is created by shifting the graph of function f up 5 units.
a.
g(x) = 4x + 5
b.
g(x) = 4(x + 5) - 6
c.
g(x) = 4x - 1
d.
g(x) = 9x - 6

Option C

Step-by-step explanation:

If we have a function f(x) and we want to move its graph vertically then we apply the transformation:

So:

If the function g(x) will be the function f(x) displaced k units up

If the function g(x) will be the function f(x) displaced k units down.

In this case we know that the graph of f(x) moves 5 units up.

then and

Therefore

its b

step-by-step explanation:

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.