Given the parent function of f(x) = x3, what is the value of h in the translated graph of f(x − h) + k?
The value of h in the translated graph of f(x - h) + k represents the horizontal shift of the graph.
To find the value of h in the translated graph of f(x − h) + k, we can analyze the equation f(x − h) + k.
The equation f(x − h) + k represents a vertical shift of the function f(x) = x^3. The value of h determines the amount of the horizontal shift (or translation) of the graph.
When we have f(x − h), the original x-values are shifted h units to the right. So, by substituting x − h in place of x, we effectively shift the graph h units to the right.
In this case, since f(x) = x^3, if we replace x by x − h, the equation becomes (x − h)^3.
Now, to determine the value of h, we need additional information or constraints, such as the coordinates of any points on the translated graph or specific properties of the translation.
Without further information, we cannot determine the specific value of h for the translated graph of f(x − h) + k. It depends on specific context or given constraints.