Solve the problem.
-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 9 at $x = 5$.
A) $f ( x ) = 5 ( x - 5 ) ^ { 2 } + 9$
B) $f ( x ) = 5 ( x + 5 ) ^ { 2 } + 9$
C) $f ( x ) = - 5 ( x - 5 ) ^ { 2 } + 9$
D) $f ( x ) = 5 ( x + 9 ) ^ { 2 } - 5$

Question

Quizplus · Accepted Answer

The correct equation is $f(x) = 5(x - 5)^2 + 9$ because it maintains the same shape as $f(x) = 5x^2$ (same coefficient in front of the squared term), shifts the vertex to $x = 5$, and moves the minimum to $y = 9$.

Solve the Problem f(x)=5x2f ( x ) = 5 x ^ { 2 }f(x)=5x2

Solve the Problem $f ( x ) = 5 x ^ { 2 }$