review the graphs of f(x)=-x^5 + 2x^4+1 and g(x), which is a translation of f(x). how can g(x) be expressed…
review the graphs of f(x)=-x^5 + 2x^4+1 and g(x), which is a translation of f(x). how can g(x) be expressed in terms of f(x)?
Answer
Explanation:
Step1: Identify the translation
By observing the graph, the graph of $y = g(x)$ is the graph of $y = f(x)$ shifted 2 units to the left.
Step2: Recall the rule for horizontal - shift
The rule for shifting a function $y = f(x)$ $h$ units to the left is $y=f(x + h)$. Here $h = 2$. So $g(x)=f(x + 2)$.
Answer:
$g(x)=f(x + 2)$