Find the range of the quadratic function.
-$$f ( x ) = ( x + 8 ) ^ { 2 } - 3$$
A) $[ - 3 , \infty )$
B) $( - \infty , - 8 ]$
C) $( - \infty , - 3 ]$
D) $[ - 8 , \infty )$

Question

Quizplus · Accepted Answer

The quadratic function $f(x) = (x + 8)^2 - 3$ opens upwards (since the coefficient of $x^2$ is positive) and has its vertex at $(-8, -3)$. The range of the function starts from the y-coordinate of the vertex and extends to infinity, hence $[ - 3 , \infty )$.

Find the Range of the Quadratic Function f(x)=(x+8)2−3f ( x ) = ( x + 8 ) ^ { 2 } - 3f(x)=(x+8)2−3

Find the Range of the Quadratic Function $f ( x ) = ( x + 8 ) ^ { 2 } - 3$