Finding Vertex and Intercepts for a Parabola

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find vertex and intercepts for each parabola and sketch its graph
2
y= -x -3x-2

Solution. As

, we know that the vertex is at (-3/2, ¼).

Let x=0, we get
y=-2
So, the y-intercept is at (0, -2).

Let y=0, we have

So,
x=-1 or x=-2.

Hence, two x-intercepts are (-1, 0) and (-2,0).

See a sketch of the graph below.

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