Find the range of the quadratic function.
-$$f ( x ) = 6 - ( x + 2 ) ^ { 2 }$$
A) $( - \infty , 6 ]$
B) $[ 6 , \infty )$
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 $k = 6$. This represents a parabola opening downwards with its vertex at $(-2, 6)$. The highest value the function can reach is at its vertex, which is 6. Since the parabola opens downwards, the function's values will include all real numbers less than or equal to 6, making the range $(-\infty, 6]$.

Find the Range of the Quadratic Function f(x)=6−(x+2)2f ( x ) = 6 - ( x + 2 ) ^ { 2 }f(x)=6−(x+2)2

Find the Range of the Quadratic Function $f ( x ) = 6 - ( x + 2 ) ^ { 2 }$