Find the coordinates of the vertex for the parabola defined by the given quadratic function.
-$$f ( x ) = ( x + 5 ) ^ { 2 } + 5$$
A) $( 5,0 )$
B) $( - 5 , - 5 )$
C) $( 0,5 )$
D) $( - 5,5 )$

Question

Quizplus · Accepted Answer

The vertex form of a parabola is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex. Given $f(x) = (x + 5)^2 + 5$, it matches the vertex form with $h = -5$ and $k = 5$, making the vertex $(-5, 5)$.

Find the Coordinates of the Vertex for the Parabola Defined f(x)=(x+5)2+5f ( x ) = ( x + 5 ) ^ { 2 } + 5f(x)=(x+5)2+5

Find the Coordinates of the Vertex for the Parabola Defined $f ( x ) = ( x + 5 ) ^ { 2 } + 5$