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)

one of each metals

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb