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3. The graph opens download with its maximum, describe the value of a?​

Sagot :

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answer:

Example:

Write the equation of the axis of symmetry, and find the coordinates of the vertex of the parabola y=−3x2−6x+4.

The equation of the axis of symmetry for the graph of y=ax2+bx+c.

x=−b2a

Substitute −3 for a and −5 for b in the equation of the axis of symmetry.

x=−−62(−3)    =−1

So, the equation of the axis of symmetry is x=−1.

Since the equation of the axis of symmetry is x=−1 and the vertex lies on the axis, the x-coordinate of the vertex is −1.

To find the y-coordinate of the vertex, first substitute −1 for x in the given equation.

y=−3(−1)2−6(−1)+4

Simplify.

y=−3+6+4    =7

Therefore, the coordinates of the vertex of the parabola is (−1,7).

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