Find g(x), where g(x) is the translation 4 units left of f(x)=4(x–5)2–9.

To find g(x), which is the translation 4 units to the left of f(x)=4(x–5)²–9, you need to adjust the x-value in the function.

Step 1: Identify the original function The original function is f(x)=4(x–5)²–9.

Step 2: Understand the transformation The problem states that g(x) is a translation 4 units to the left of f(x). This means that every x-value in f(x) will be replaced with (x+4) in g(x).

Step 3: Apply the transformation Replace every x in f(x) with (x+4) to get g(x): g(x) = 4((x+4)–5)²–9 Simplify the equation: g(x) = 4(x-1)²–9

So, the function g(x) is 4(x-1)²–9.