Determine whether the following equation defines \( y \) as a function of \( x \). \( x^{2}+y^{2}=16 \) Does the equation \( x^{2}+y^{2}=16 \) define \( y \) as a function of \( x \) ? Nos

Below is the graph of \( y=\log _{4} x \) Translate it to become the graph of \( y=\log _{4}(x+2)+3 \)

Find a formula for the general term \( a_{n} \) of the sequence assuming the pattern of the first few terms continues. \[ \{2,-1,-4,-7,-10, \ldots\} \] Assume the first term is \( a_{1} \). \( a_{n}=\square \) Next Question

Consider the following piecewise-defined function. \[ f(x)=\left\{\begin{array}{ll}\frac{-5}{x+3} & \text { if } x<-3 \\ -9 & \text { if } x=-3 \\ -x^{2}+4 & \text { if } x>-3\end{array}\right. \] Step 1 of \( 3: \) Evaluate this function at \( x=-10 \). Write the exact answer. Do not round. If the answer is undefined, write Und as your answer. Answer \[ f(-10)= \]

Find the gradiut of the points \( (1,6) \) and \( (2,3) \)

\[ s(x)=(3-x)^{3} \] Step 1 of 2 : Determine the more basic function that has been shifted, reflected, stretched, or compressed. Answer \[ f(x)= \]