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Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.

Find the equation of the axis of symmetry of the parabola. Each box in the grid represents-example-1

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Answer:

The line x=b2a will serve as the parabola's axis of symmetry.

Detailed explanation:

Graph the parabola y=x2−7x+2 .

To get the values of a, b, and c, compare the equation with y=ax2+bx+c.

In this case, a=1, b=7, and c=2.

To write the axis of the symmetry equation, use the coefficient values.

The line x=b2a serves as the axis of symmetry for a quadratic equation of the form y=ax2+bx+c. Therefore, x=(7)2(1) or x=72 is the equation of the axis of symmetry of the given parabola.

To determine the vertex's y coordinate, change x=72 in the equation.

y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414

The vertex's coordinates are (72, 414) as a result.

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