Write a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)?

a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)

when p and q are the roots    then we use equation

y = a(x- p)(x-q)

We are given with roots 3  and -1

y = a(x- 3)(x-(-1))

y = a(x- 3)(x + 1)

Now we use the given point (-3,3) to find out 'a'

3 = a(-3- 3)(-3 + 1)

3= a(-6)(-2)

3= 12a

divide by 12 on both sides

Replace the value of 'a'

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled