Select the description of the graph created by the equation 3x2 - 6x + 4y - 9 = 0.
O Parabola with a vertex at (1,3) opening left.
O Parabola with a vertex at (-1, -3) opening left.
O Parabola with a vertex at (1,3) opening downward.
Parabola with a vertex at (-1, -3) opening downward.
Answer is C:)

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Answer:

C. Parabola with a vertex at (1, 3) opening downward.

Step-by-step explanation:

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The equation represents a parabola with a vertex at (1,3) opening downward.

What is a parabola?

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

The given equation is 3x² - 6x + 4y - 9 = 0. On plotting the graph of the given equation it is found that the parabola formed is opened downwards and has a vertex at the point ( 1,3). The graph is attached with the answer below.

Hence, the correct option is C which is the equation that represents a parabola with a vertex at (1,3) opening downward.

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