Let f(x) = |x|, where x can be any real number. write a formula for the function whose graph is the
transformation of the graph of f given by the instructions below.
d. a translation left 4 units

Hello!

we have the function f(x) = IxI, and we want to write the formula if the function where we have the graph of f(x) translated left by 4 units.

Let's think it:

the graph of f(x) is like a V, where the vertix is at x = 0, then a translation to the left by 4 units mean that now the vertix is at x = -4, then in the new function, we have g( x = -4) = f(0)

This means that now we have

y = g(x) = f( x + 4) = Ix+4I

Always when you want a translation left by N units for the graph of f(x), you need to do:

y = g(x) = f( x +N)

and if the translation is to the right:

y = h(x) = f(x - N)

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

my answer is$ 12

step-by-step explanation:

because 15 -2=12