Answer:
Option D
Step-by-step explanation:
The equation of a parabola in vertex form is
[tex]y = a(x - h)^{2} + k[/tex]
Where (h,k) is the vertex.
We were given the vertex as (5,-4). This implies that:
h=5, k=-4, we can see that a=2 is the leading coefficient of all the options.
We substitute the values to get:
[tex]y = 2(x - 5)^{2} + - 4[/tex]
Or
[tex]y =2( {x - 5)}^{2} - 4[/tex]
