Question

The vertex of the parabola would be located at which coordinates
-6,3
6,3
3,-6
3,6

Answer 1

Explanation

• Given Equation

$y = 4 {(x - 6)}^{2} + 3$

• Vertex Form

$y = a {(x - h)}^{2} + k$

where a-term determines how wide/narrow/upward or downward of the graph.

h-term determines the changes of graph for x-axis

k-term determines the changes of graph for y-axis.

The vertex of parabola is at (h,k).

$y = 4 {(x - ( + 6)})^{2} + ( + 3)$

Therefore, h = 6 and k = 3.

Answer

$\large \boxed{(6,3)}$