Question

If Ax) = x2 and g(x) = (x + 1)2, which is the graph of g(x)?

Answer 1

the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.

Explanation:

Given the parent function: f(x) = x^3

Rule of Horizontal transformation:

If y =f(x) , then y= f(x+k) gives a function that is translated k units towards the left side.

then;

By definition of horizontal translation:

g(x) = (x+1)^3

Therefore, the graph of g(x) is a horizontal transformation of f(x) 1 units to the left.