Question

1. the graph of an absolute - value function g is shown below. it is a transformation of the parent function f(x)=|x|. which 3 transformations of the parent function (shown in the dotted graph) occurred to produce the solid graph? circle the three that apply. vertical reflection (flip) vertical stretch vertical shrink left 1 right 1 up 3 down 3

Explanation:

1. Vertical reflection: The parent function \(y = |x|\) opens upwards, while the given function \(g(x)\) opens down - ward, indicating a vertical reflection across the \(x\) - axis.
2. Vertical stretch: The graph of \(g(x)\) is narrower than the parent function \(y = |x|\), which means it has been vertically stretched.
3. Down 3: The vertex of the parent function \(y = |x|\) is at the origin \((0,0)\), and the vertex of \(g(x)\) is at \((0, - 3)\), so the graph has been shifted down 3 units.

Answer:

Vertical reflection (flip), Vertical stretch, Down 3