Question

Write a function g whose graph represents the indicated transformation of the graph of f

The equation f(x) = 4x+31+2 translated 2 units down is g(x)=

Answer 1

Explanation:

translations up or down are the easiest transformations.

it just means we can leave everything unchanged and just add (up) or subtract (down) a certain constant from the original function expression.

because we calculate everything as we did with the original function, and then simply add or subtract from every functional result value the translation constant.

g(x) = f(x) - 2 = (|4x + 3| + 2) - 2 = |4x + 3|

Answer 2

g(x) = f(x) - 2

Explanation:

Translating the graph of f 2 units down ,

(algebraically) has as consequence:

The equation of the image graph is equal to f(x) - 2

Therefore,

g(x) = f(x) - 2