What are the vertex, focus, and directrix of the parabola with the given equation?
y equals StartFraction 1 over 28 EndFraction left parenthesis x minus 4 right parenthesis squared minus 5
(1 point)
Responses
vertex: left parenthesis 4 comma negative 5 right parenthesis; focus: left parenthesis 4 comma negative 12 right parenthesis; directrix: y = 2
vertex: Image with alt text: left parenthesis 4 comma negative 5 right parenthesis ; focus: Image with alt text: left parenthesis 4 comma negative 12 right parenthesis ; directrix: y = 2
vertex: left parenthesis negative 4 comma negative 5 right parenthesis; focus: left parenthesis 4 comma 2 right parenthesis; directrix: y = 2
vertex: Image with alt text: left parenthesis negative 4 comma negative 5 right parenthesis ; focus: Image with alt text: left parenthesis 4 comma 2 right parenthesis ; directrix: y = 2
vertex: left parenthesis negative 4 comma negative 5 right parenthesis; focus: left parenthesis 4 comma negative 12 right parenthesis; directrix: y equals negative 12
vertex: Image with alt text: left parenthesis negative 4 comma negative 5 right parenthesis ; focus: Image with alt text: left parenthesis 4 comma negative 12 right parenthesis ; directrix: Image with alt text: y equals negative 12
vertex: left parenthesis 4 comma negative 5 right parenthesis; focus: left parenthesis 4 comma 2 right parenthesis; directrix: y equals negative 12
The correct answer is:
vertex: (4, -5); focus: (4, -12); directrix: y = 2.