Find the domain and range of the quadratic function whose graph is described.
-Write an equation in standard form of the parabola that has the same shape as the graph of $f ( x ) = - 7 x ^ { 2 }$, but which has a maximum of 8 at $x = 4$.
A) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } + 8$
B) $f ( x ) = - 7 ( x + 4 ) ^ { 2 } + 8$
C) $f ( x ) = 7 ( x - 4 ) ^ { 2 } + 8$
D) $f ( x ) = - 7 ( x - 4 ) ^ { 2 } - 8$

Question

Quizplus · Accepted Answer

The correct equation is $f(x) = -7(x - 4)^2 + 8$ because it reflects a parabola that opens downwards (due to the negative coefficient of the squared term), has its vertex at (4, 8), and has the same shape as the graph of $f(x) = -7x^2$.

Find the Domain and Range of the Quadratic Function Whose f(x)=−7x2f ( x ) = - 7 x ^ { 2 }f(x)=−7x2

Find the Domain and Range of the Quadratic Function Whose $f ( x ) = - 7 x ^ { 2 }$