what value represents the vertical translation from the graph of the parent function (f(x)=x^{2}) to the…

what value represents the vertical translation from the graph of the parent function (f(x)=x^{2}) to the graph of the function (g(x)=(x + 5)^{2}+3)?\n-5\n-3\n3\n5

what value represents the vertical translation from the graph of the parent function (f(x)=x^{2}) to the graph of the function (g(x)=(x + 5)^{2}+3)?\n-5\n-3\n3\n5

Answer

Answer:

C. 3

Explanation:

Step1: Recall translation rule

For a function $y = f(x - h)+k$, $k$ represents vertical translation.

Step2: Identify $k$ value

For $g(x)=(x + 5)^2+3$, comparing with $y = f(x - h)+k$ where $f(x)=x^2$, we have $k = 3$. So the vertical translation is 3 units up.