1. first parabola is up, so a are going to be positive y = a(x-r)(x-s), roots -7,-3, so we can write y=a(x+7)(x+3) [1] we can take point (-5,-2), substitute into equation [1], and find value of a -2=a(-5+7)(-5+3) -2=a*2*(-2) a=1/2 so first parabola has an equation y=1/2(x+7)(x+3)
2. second parabola y=a(x-r)(x-s) roots are 2 and 4 so we ca write y=a(x-2)(x-4) take point (3,4) and substitute into this equation 4 =a(3-2)(3-4) 4=-a a=-4, and it will look down y=-4(x-2)(x-4)
