Opens up or down?

The equation in vertex for y=3x^2+4

1 answer

The parabola represented by the equation y=3x^2+4 opens up because the coefficient of x^2 is positive.

To find the vertex of the parabola, we can use the formula x = -b/2a, where a is the coefficient of x^2 and b is the coefficient of x.

In this case, a = 3 and b = 0 (since there is no x term). So x = -0/(2*3) = 0.

To find the corresponding y-coordinate of the vertex, we can plug in x = 0 to the equation:

y = 3(0)^2 + 4 = 4

Therefore, the vertex of the parabola y=3x^2+4 is (0, 4).
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