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.