Find the vertex of the graph of the function.
-$$f ( x ) = ( x - 3 ) ^ { 2 } - 2$$
A) $( - 2,0 )$
B) $( 0,3 )$
C) $( 3 , - 2 )$
D) $( - 2,3 )$

Question

Quizplus · Accepted Answer

The vertex form of a quadratic function is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex of the parabola. In the given function $f(x) = (x - 3)^2 - 2$, comparing it to the vertex form, we find $h = 3$ and $k = -2$, making the vertex $(3, -2)$.

Find the Vertex of the Graph of the Function f(x)=(x−3)2−2f ( x ) = ( x - 3 ) ^ { 2 } - 2f(x)=(x−3)2−2

Find the Vertex of the Graph of the Function $f ( x ) = ( x - 3 ) ^ { 2 } - 2$