Question

Which type of conic section is described by the following equation?
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Answer 1

Hyperbola opening up and down.

Explanation:

Hyperbola opening up and down.

We determine which way it opens as follows:

x is negative so we set x+1 = 0 .

That makes the term in y-2/3^2 = 1 , so when x = 0 y is positive so it opens upwards.

Answer 2

F. Hyperbola opening up/down

Explanation:

Remember that you conic parent graph for a hyperbola up/down is:

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

Alternatively, you could use a graphing calc to graph the equation and figure out the conic type.