Sample quiz on translations of functions
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- If $f(x)$ is a function, the transformation $f(x-3)$ amounts to $\cdots$?
- If $f(x)$ is a function, the transformation $f(x)+3$ amounts to $\cdots$?
- Let $f(x)=\sqrt{x}$ be the parent square root function. What is the correct expression for $f(x-2)$?
- Let $f(x)=\frac{1}{x}$. Relative to $f(x)$, the function $g(x)=\frac{1}{x+2}$ can be obtained by $\cdots$?
- If $f(x)=x^2$ is translated horizontally $3$ units to the left, what is the resulting function?
- Given that $f(x)=|x-1|$, find a transformation needed to obtain $g(x)=|x|$.
- Given that $f(x)=\sqrt{x}$, find the domain of the transformed function $f(x+4)$.
- Find the function resulting from a vertical translation of $\frac{1}{x}$ by $3$ units up.
- Find the domain of $f(x)=\frac{1}{x}$ after it undergoes a horizontal translation of $5$ units to the left
- What transformation(s) is(are) needed to convertex $f(x)=x^2$ to $g(x)=x^2+4x+4$?