Question

Let f(x)=4x2 6. The function g(x) is f(x) translated 4 units down. What is the equation for g(x) in simplest from? Enter your answer by filling in the box. G(x) =.

Answer 1

The G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

What is Function?

A function assigns the value of each element of one set to the other specific element of another set.

The given function can be transformed from the initial position of the new position by subtracting the 4 from the initial function.

We know that in the initial function y=4x²+6, y is the output, while x is the input for the function f(x).

As the G(x) is the new function of the f(x) which is translated 4 units down. therefore,

$G(x) = f(x)-4\\\\G(x) = 4x^2+6-4\\\\G(x) =4x^2+2$

hence, the G(x) is the new function of the f(x) which is translated 4 units down is 4x²+2.

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