y= -2x^2 - 3x + 7 How to find vertex and two other points

Alternatively, if you have y = ax² + bx +c, then the vertex is at x = -b/(2a)

 

Plug this value of x back into the equation to find the corresponding value of y.

 

Put two other values of x into the equation to find two other values of y for the other points.

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to find the vertex, go from standard form to vertex form by "completing the square". (look up the process)

then graph using the vertex, and label two other points