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In Mathematics / High School | 2014-05-09

Consider the quadratic equation \( y = -3x^2 - 2x + 4 \).

A. Find the value of the discriminant.

B. How many real roots does the equation have?

C. Does the vertex of the graph of the equation lie above, on, or below the x-axis?

Asked by dp123456

Answer (2)

A. discriminant = 52; B. 2, because 52 > 0 C. - discrminant / 4a = -52 / -12 = 6 > 0 => the vertex of the graph of the equation lie above the x-axis.

Answered by crisforp | 2024-06-10

The discriminant of the equation is 52, indicating two real roots. The vertex of the graph lies above the x-axis, with a y-coordinate of approximately 4.33. Therefore, the equation has two distinct real roots and the vertex is above the x-axis.
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Answered by crisforp | 2024-12-23

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