Question

For f(x)=x2+1, which function below has a graph that is a translation up 3 units of the graph

Answer 1

The function that has a graph that is a translation up 3 units of the graph is g(x) = (x - 3)^2 + 1

How to determine the equation of the function after the translation transformation?

The equation of the function before transformation or translation is given as:

f(x) = x^2 + 1

When the given function f(x) = x^2 + 1 is translated up by 3 units, the rule of the function translation is

g(x) = f(x - 3)

Next, we substitute the expression x - 3 for x in the function f(x) = x^2 + 1

So, we have:

f(x - 3) = (x - 3)^2 + 1

Next, we substitute the equation f(x - 3) = (x - 3)^2 + 1 in the function equation g(x) = f(x - 3)

So, we have:

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

Hence, the function that has a graph that is a translation up 3 units of the graph is g(x) = (x - 3)^2 + 1

So, the complete parameters are:

f(x) = x^2 + 1

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

Read more about transformation at:

brainly.com/question/21931353

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