Question

How to find the stationary point of inflection if we know two points on the graph of y= a(x-h)^3 + k: (-4,0) , (0,28) where 'a'(which is the dilation is equal to 1

Answer 1

I found the two equations k=28+h^3 and k= - (-4-h)^3

Answer 2

But I don't know how to find k by using both equations

Answer 3

If the above equations are correct than solving this system of equations is fairly easy.
k=28+h^3
k= - (-4-h)^3

Thus
28+h^3= - (-4-h)^3

Now expand the bracket:
(-4-h)^3=-64 -3*16h-3*4h^2- h^3
so
- (-4-h)^3=h^3+12h^12+48h+64

28+h^3= - (-4-h)^3
becomes
28+h^3=h^3+12h^12+48h+64

Can you continue now?

Answer 4

Why is it to the power of 12

Answer 5

That is a misprint, it should be 2

Answer 6

28+h^3=h^3+12h^2+48h+64

Answer 7

So basically u use quadratic equation to find the values

Answer 8

Yep as h^3 cancels

Answer 9

Thanks andras I appreciate your help bro

Answer 10

No problem