Identify the following characteristics of the equation [tex]y = -x^2 - 3x[/tex]:

1. Vertex
2. Axis of symmetry
3. Direction of opening
4. Minimum/Maximum value
5. y-intercept
6. x-intercepts

(-3/2, 27\4) is the vertex it opens down max at the vertex mins are negative infiity x intercepts at -1 and 3 y intercept at (0,0)

Answered by Anonymous | 2024-06-10

The equation y = − x 2 − 3 x has a vertex at ( − 2 3 ​ , 4 9 ​ ) , an axis of symmetry at x = − 2 3 ​ , and opens downwards indicating a maximum value of 4 9 ​ . The y-intercept is at ( 0 , 0 ) and the x-intercepts are at ( 0 , 0 ) and ( − 3 , 0 ) .
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Answered by Anonymous | 2024-10-16