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

Question

Quizplus · Accepted Answer

The given quadratic function is in the standard form, $f(x) = ax^2 + bx + c$, where $a=1$, $b=0$, and $c=5$. The $x$-coordinate of the vertex of this parabola is at $x=-\frac{b}{2a}=0$. To find the $y$-coordinate of the vertex, we plug in $x=0$ into the function: $f(0) = 0^2 + 5 = 5$. Therefore, the coordinates of the vertex are $(0,5)$, which is choice A.

Find the Coordinates of the Vertex for the Parabola Defined f(x)=x2+5f ( x ) = x ^ { 2 } + 5f(x)=x2+5

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