Find the vertex and axis of symmetry of the graph of the function.
-$$f ( x ) = x ^ { 2 } - 6 x$$
A) $( 3 , - 9 ) ; x = 3$
B) $( 9 , - 3 ) ; x = 9$
C) $( - 9,3 ) ; x = - 9$
D) $( - 3,9 ) ; x = - 3$

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. To find the vertex of $f(x) = x^2 - 6x$, complete the square: $f(x) = (x^2 - 6x + 9) - 9 = (x - 3)^2 - 9$. Thus, the vertex is $(3, -9)$. The axis of symmetry is $x = h$, which is $x = 3$.

Find the Vertex and Axis of Symmetry of the Graph f(x)=x2−6xf ( x ) = x ^ { 2 } - 6 xf(x)=x2−6x

Find the Vertex and Axis of Symmetry of the Graph $f ( x ) = x ^ { 2 } - 6 x$