Thread: helpp

help with curve sketching, i have a question how do u sketch this,
y= (x-2)^3
i know u have to find the roots, but if u get (x-2), isn't the root 2, and it goes through a curve because of its to the power of 3?

also one question consider this exmaple. y= -5 (x+5) (x-5), would the -5 consider as a root or 0?, and also if a questions like this
y = -(x^2-25)(x^-1), would the negative sign be consider the graph as negative parabola? or would the negative sign be ignored?

1. As far as sketching , this is simply a right shift of . You'll need a few points on the graph to help you sketch it. The root is indeed 2. What is y when x = 0?

2. Zero is not a root of , because x = 0 gives y = 125. The roots are dependent on the polynomial factors of x + 5 and x - 5, not the multiple of -5.

3. In your equation the negative sign is not ignored. You can distribute it across to yield the equation . Additionally, this graph is not a parabola. When I write it in this form, can you see why?