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

Answer:

h = 1 and k = -2

Step-by-step 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.