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 $f ( x ) = 5 x ^ { 2 }$, but which has a minimum of 5 at $x = 2$.
A) $f ( x ) = 5 ( x - 2 ) ^ { 2 } + 5$
B) $f ( x ) = 5 ( x + 2 ) ^ { 2 } + 5$
C) $f ( x ) = - 5 ( x - 2 ) ^ { 2 } + 5$
D) $f ( x ) = 5 ( x + 5 ) ^ { 2 } - 2$

Question

Quizplus · Accepted Answer

The correct equation is $f(x) = 5(x - 2)^2 + 5$ because it represents a parabola with the same shape as $f(x) = 5x^2$, shifted 2 units to the right (to make $x = 2$ the vertex) and 5 units up to make the minimum value of the function 5.

Find the Domain and Range of the Quadratic Function Whose f(x)=5x2f ( x ) = 5 x ^ { 2 }f(x)=5x2

Find the Domain and Range of the Quadratic Function Whose $f ( x ) = 5 x ^ { 2 }$