what value represents the vertical translation from the graph of the parent function $f(x)=x^2$ to the graph…
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
Explanation:
Step1: Recall quadratic vertex form
The vertex form of a quadratic function is $g(x) = (x-h)^2 + k$, where $k$ is the vertical translation from the parent function $f(x)=x^2$.
Step2: Identify $k$ in given function
For $g(x)=(x+5)^2+3$, rewrite $x+5$ as $x-(-5)$ to match the vertex form: $g(x) = (x-(-5))^2 + 3$. Here, $k=3$.
Answer:
3