Question

The graph of the function f(x)=x2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)

Answer 1

When a function is translated, it means the function is moved from one point to another.

The resulting function  g(x) is: $g(x) = (x + 1)^2 + 3$

Given that:

$f(x) = x^2$

When the function is translated 3 units up, the rule is:

$(x,y) \to (x,y+3)$

So, we have:

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

When the function is translated 1 unit left, the rule is:

$(x,y) \to (x + 1,y)$

So, we have:

$g(x) = (x + 1)^2 + 3$

Hence, the resulting function  g(x) is:

$g(x) = (x + 1)^2 + 3$

See attachment for the graphs of f(x) and g(x)

Read more about translations at:

https://brainly.com/question/12463306