Question

Determine the values of h and k in the equation of g(x).

g(x) = RootIndex 3 StartRoot x minus h EndRoot+ k

h =

k =

Answer 1

k=-2 and h = 1

Explanation:

I believe someone already added these answers. I'm actually not clear how they can be easily derived, but in an effort to better understand the impact of both, I took a few points and added them to DESMOS, along with the equation and sliders for h and k. See the attached.

I just moved the sliders and quickly found that k = -2, and h = 1, match the data well.

So I can't explain a mathematical process, but thanks to DESMOS we can see a solution.