[T] 9. Write the equation of a parabola in factored form that has a step pattern
of -3, -9, -15… and has zeroes of 2 and -5.

Question

[T] 9. Write the equation of a parabola in factored form that has a step pattern 
        of -3, -9, -15… and has zeroes of 2 and -5.

anonymous · Answer

step pattern?

anonymous · Answer

what is that?

anonymous · Answer

zeros of 2 and -5 means you can start with 
$$y=a(x-2)(x+5)=a(x^2+3x-10)$$

anonymous · Answer

how did you get a(x2+3x−10)?

anonymous · Answer

because if you know the zeros, you know how to factor

anonymous · Answer

im sorry but i dont understand ! that was the question straight from my homework !

anonymous · Answer

just like if i was asked to solve 
$$x^2+3x-10=0$$ i would factor as $(x+5)(x-2)=0$ and get $x=-5,x=2$ now we go the other way

anonymous · Answer

you know the zeros, so you know how to factor
the zeros are $-5, 2$ so it must factor as $a(x+5)(x-2)=a(x^2+3x-10)$

anonymous · Answer

damned if i know what a step patter is though
do you?

anonymous · Answer

OHHH so you expand!