Question

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

g(x) = ³√x-h +k

h =
k =

Answer 1

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

g(x) = ³√x -h+k

h = 1

k = -2

Answer 2

h = 1 and k = -2

Explanation:

We see that the given function is obtained after applying translation (which is a transformation that shifts the figure in any direction) to the function
`f(x)=\sqrt[3]{x}`.

Now, as we see that the function f(x) is shifted one unit to the right and 2 units downwards.

Therefore, the new function is
`g(x)=\sqrt[3]{x-1}-2`.

Now, on comparing this g(x) with
`g(x)=\sqrt[3]{x-h}+k`, we get that h = 1 and k = -2.

Hence, the value of h is 1 and k is -2.