Question

The graphs below have the same shape. What is the equation of the blue
graph?

Answer 1

Option (A)

Explanation:

Parent function (in red) graph is represented by,

f(x) = x²

If this function is translated by 'a' units to the right, rule to be followed,

f(x) → f(x - a)

If the parent function is shifted by 4 units to the right (blue graph), the new function will be,

g(x) = f(x - 4)

g(x) = (x - 4)²

Therefore, Option (A) will be the correct option.