x Find the range of the quadratic function.
-$$f ( x ) = ( x + 5 ) ^ { 2 } - 3$$
A) $[ - 3 , \infty )$
B) $( - \infty , - 5 ]$
C) $( - \infty , - 3 ]$
D) $[ - 5 , \infty )$

Question

Quizplus · Accepted Answer

The given quadratic function $f(x) = (x + 5)^2 - 3$ opens upwards (since the coefficient of $x^2$ is positive) and has its vertex at $(-5, -3)$. The vertex represents the minimum point of the function. Therefore, the range of the function is all values greater than or equal to -3, which is $[-3, \infty)$.

X Find the Range of the Quadratic Function f(x)=(x+5)2−3f ( x ) = ( x + 5 ) ^ { 2 } - 3f(x)=(x+5)2−3

X Find the Range of the Quadratic Function $f ( x ) = ( x + 5 ) ^ { 2 } - 3$