Answer:
[tex]2x^2-6[/tex]
Step-by-step explanation:
If a quadratic equation has a root at a certain point, the x value must equal. zero. If we want to have the function reach 6 and -6 as roots:
x = 6
x - 6 = 0
x = -6
x + 6 = 0
Combining the two we get (x+6)(x-6) which will give us a quadratic equation.
Expanding: [tex]x^2-6x+6x-6 = x^2-6[/tex]
The leading coefficient is the number before the variable with the highest power, which is 2: [tex]2x^2-6[/tex]
