x Find the range of the quadratic function.
-$$f ( x ) = 7 - ( x + 2 ) ^ { 2 }$$
A) $( - \infty , 7 ]$
B) $[ 7 , \infty )$
C) $( - \infty , 2 ]$
D) $[ - 2 , \infty )$

Question

Quizplus · Accepted Answer

The given quadratic function is in the form $f(x) = - (x + h)^2 + k$, where $h = -2$ and $k = 7$. This represents a parabola opening downwards with its vertex at $(-2, 7)$. The highest value $f(x)$ can reach is 7, at the vertex, and it decreases as $x$ moves away from -2 in either direction. Therefore, the range of $f(x)$ is all real numbers up to and including 7, which is $(-\infty, 7]$.

X Find the Range of the Quadratic Function f(x)=7−(x+2)2f ( x ) = 7 - ( x + 2 ) ^ { 2 }f(x)=7−(x+2)2

X Find the Range of the Quadratic Function $f ( x ) = 7 - ( x + 2 ) ^ { 2 }$