Determine the values of h and k in the equation of g(x).
g(x) = ³√x -h+k
h = 1
k = -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 [tex]f(x)=\sqrt[3]{x}[/tex].
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 [tex]g(x)=\sqrt[3]{x-1}-2[/tex].
Now, on comparing this g(x) with [tex]g(x)=\sqrt[3]{x-h}+k[/tex], we get that h = 1 and k = -2.
Hence, the value of h is 1 and k is -2.
