guided practice\nfamilies of functions\ntype your answer and then click or tap done.\nwrite the equation…

Explanation:

Step1: Identify the vertex of the absolute value function

The vertex $(h, k)$ is the lowest point on the graph. $$(h, k) = (-2, 4)$$

Step2: Determine the slope of the right branch

Pick two points on the right branch, such as $(-2, 4)$ and $(0, 2)$. $$m = \frac{2 - 4}{0 - (-2)} = \frac{-2}{2} = -1$$

Step3: Use the standard absolute value equation form

The standard form is $y = a|x - h| + k$. $$y = -1|x - (-2)| + 4$$

Step4: Simplify the equation

Combine the signs inside the absolute value and the coefficient. $$y = -|x + 2| + 4$$

Answer:

y = -|x + 2| + 4