For a given geometric sequence, the common ratio, r, is equal to 4, and the 9th term, a_9, is equal to -31. Find the value of the 11th term, a_11. If applicable, write your answer as a fraction

up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.

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step-by-step explanation:

it has the same slope and a different y-intercept

hope this : )