Question

Please see the picture below. Indeed help with parts of the question

Answer 1

Given

`((x-4)^2)/(4)-(y^2)/(9)=1`

Find

Values of a and b for this conic section

Step-by-step explanation

As we know the standard equation for conic section is given by

`((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1`

where (h , k) be the vertex

vertices (h+a , k) and (h-a , k)

given equation can be rewrite as

`((x-4)^2)/(2^2)-(y^2)/(3^2)=1`

on comparing , we get

a = 2 and b = 3

Final Answer

Therefore , the value of a = 2 and b = 3