Write the equation of the parabola that has the same shape as the given parabola but with the given vertex.
-$f ( x ) = 5 x ^ { 2 } ; ( - 1,3 )$
A) $f ( x ) = 5 ( x - 1 ) ^ { 2 } + 3$
B) $f ( x ) = 5 ( x + 3 ) ^ { 2 } - 3$
C) $f ( x ) = 5 ( x - 3 ) ^ { 2 } - 3$
D) $f ( x ) = 5 ( x + 1 ) ^ { 2 } + 3$

Question

Quizplus · Accepted Answer

The correct equation is $f(x) = 5(x + 1)^2 + 3$, which reflects a horizontal shift left by 1 unit and a vertical shift up by 3 units to place the vertex at $(-1,3)$.

Write the Equation of the Parabola That Has the Same f(x)=5x2;(−1,3)f ( x ) = 5 x ^ { 2 } ; ( - 1,3 )f(x)=5x2;(−1,3)

Write the Equation of the Parabola That Has the Same $f ( x ) = 5 x ^ { 2 } ; ( - 1,3 )$