Question

The graph shows g(x), which is a translation of f(x)=x^2. Write the function rule for g(x).

Write your answer in the form a(x-h)^2+k, where a, h, and k are integers or simplified fractions.
g(x) =?

Answer 1

f(x) = (x+3)^2

Explanation:

The graph is translated by moving it three places to the left. The expression becomes f(x) = (x-3)^2.

See the attached graph.

Answer 2

g(x)=(x+3)^2

Explanation:

the translation is simply a shift to the left by 3 units, so the new graph would be g(x) = (x+3)^2