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 $f ( x ) = 11 x ^ { 2 }$, but which has its vertex at $( 3,9 )$.
A) $f ( x ) = 11 ( x - 3 ) ^ { 2 } + 9$
B) $f ( x ) = 11 ( x + 3 ) ^ { 2 } + 9$
C) $f ( x ) = ( 11 x + 3 ) ^ { 2 } + 9$
D) $f ( x ) = 11 ( x + 9 ) ^ { 2 } + 3$

Question

Quizplus · Accepted Answer

The correct equation is $f(x) = 11(x - 3)^2 + 9$ because it shifts the vertex of the parabola $f(x) = 11x^2$ to the point $(3, 9)$. The general form for a shifted parabola is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex.

Find the Domain and Range of the Quadratic Function Whose f(x)=11x2f ( x ) = 11 x ^ { 2 }f(x)=11x2

Find the Domain and Range of the Quadratic Function Whose $f ( x ) = 11 x ^ { 2 }$