If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.
Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x,y).
Answer:
3 ratios that are equivelent to 4 : 3
8 : 6
20 : 15
and 12 : 9
Step-by-step explanation:
When y=-15, x=-20. So subtract x from y, you will get that y= 0 and x=-5. Add 12 to both and you have your answer, x=7 and y=12
Option A: 4x(^3√2y)+12x^2y(^3√2y^2)