Please help !! Determine the equation of the
function f(x) = 5*
after being translated 3 units left and 4 units down.
A. f(x) = 5x+3 – 4
B. f(x) = 57-3 – 4
C. f(x) = 51-4 - 3
D. f(x) = 5x+4 - 3

A

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Here f(x) is shifted 3 units left , then

f(x) → f(x + 3)

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) is shifted 4 units down , then

f(x) → f(x) - 4

Thus

f(x) = → f(x) = - 4

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step-by-step explanation: