The distance from the provided zero to the line of symmetry is 5.5 units after using the distance formula.
What is a quadratic equation?
Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
It is given that:
A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.
As we know the standard form of the quadratic equation is:
\(\rm ax^2+bx+c=0\)
The points at the line of symmetry: (-3.5, 0)
The zero is at -9, so the coordinate point is: (-9, 0)
The distance between points (-3.5, 0) and (-9, 0)
Using the distance formula:
The distance formula can be given as:
\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\rm d=\sqrt{(-3.5+9)^2+(0-0)^2}\)
d = 5.5 units
Thus, the distance from the provided zero to the line of symmetry is 5.5 units after using the distance formula.
Learn more about quadratic equations here:
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