SOLUTION: Decide whether the graph of the equation is a line, a parabola, or a circle. y=-3x^2+7x-5

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Question 134873: Decide whether the graph of the equation is a line, a parabola, or a circle.
y=-3x^2+7x-5
Answer by solver91311(12150) About Me  (Show Source):
You can put this solution on YOUR website!
The function has an x%5E2 term, so it is NOT a line.

The function does not have x%5E2 AND y%5E2 terms, so it is not a circle.

The only thing left is a parabola from the choices given.

drawing%28600%2C600%2C-10%2C10%2C-10%2C10%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28600%2C600%2C-10%2C10%2C-10%2C10%2C3x%5E2%2B7x-5%29%0D%0A%29

Yep! Parabola.