A student graphed a square root function. Determine the equation of the function.
Check the final answer first, then review the worked steps.
Problem
A student graphed a square root function. Determine the equation of the function.
Step-by-step solution
The graph starts at (-4, 0) and passes through (0, 1). This indicates a horizontal shift of -4 and a vertical stretch of 1/2. Thus, the equation is $y = \frac{1}{2}\sqrt{x+4}$.
Answer
$y = \frac{1}{2}\sqrt{x+4}$