Question

6

What is the equation of the function y = - translated 5 units to the left and 4 units up?
X
(1 point)
Oy=-
x-4
+3
6
y = x+51
O y=-
6
Oy=+4
X-5
+4
x +4
+5

Answer 1

The translated funciton is:

g(x) = 6/(x - 5) + 4

What is the equation of the translation?

A vertical translation of N units is written as:

g(x) = f(x) + N

if N < 0, the translation is down.

if N > 0, the translation is up.

horizontal translation of N units is written as:

g(x) = f(x+ N)

if N < 0, the translation is to the right.

if N > 0, the translation is to the left.

Hhere a translation of 5 units to the left and 4 units up is:

g(x) = f(x -5 ) +4

The original function is f(x) = 6/x, so the translated one is:

g(x) = 6/(x - 5) + 4