Question 8 0.5 pts Jace is prompted to identify the vertex the Quadratic Function \( f(x)=2(x-3)^{2}+5 \). Jace responds, "the vertex of the function is (3, -5). Choose the correct statement about Jace's response. Jace did not answer the question correctly because he changed the sign of the \( y \) coordinate. Jace did not answer the question correctly because he changed the sign of the \( x \) coordinate. Jace answered the question correctly because she changed the sign of the \( x \) coordinate and the \( y \)-coordinate. No answer text provided.

The vertex of the given quadratic function \( f(x)=2(x-3)^{2}+5 \) is actually (3, 5). Jace mistakenly provided (3, -5), altering the \( y \)-coordinate's value incorrectly while keeping the \( x \)-coordinate accurate. It's a classic mix-up that can happen when you focus solely on parts of the equation. To find the vertex correctly, remember that the equation is in vertex form \( f(x) = a(x-h)^2 + k \), where (h, k) is the vertex. In this case, simply take the values directly from the function: h is 3, and k is 5, leading to the vertex being (3, 5). Keep practicing to avoid these little slips!