Dale graphed the absolute value parent function. Then, he reflected the graph over the x-axis, shifted it four units to the right and three units up. Give the new equation
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Required Answer :-
- i(x) = - |x - 4| + 3
Step-by-step explanation:
Parent function:
f(x) = |x|, solid black on the graph
Transformations
1. Reflection over x-axis: f(x) → -f(x)
g(x) = -|x|, dotted blue on the graph
2. Horizontal shift 4 units to the right: g(x) → g(x - 4) h(x) = -|x - 4|, dotted green on the graph
3. Vertical shift 3 units up: h(x) → h(x) + 3
i(x) = - |x - 4| + 3, solid red on the graph
This is the final function.
╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍╍
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Describe the transformations that were applied to the parent function 3. f(x) = 2/x +41 - 1 4. F(x)=- x + 2] + 3 5. S(x) = 2 / (x + 7,² +2 6. 5. Dale graphed the absolute value parent function. Then, he reflected the graph over the x-axis, shifted it four units to the right and three units up. Give the new equation. the vartovavic of cymmetry State the domain and range, t
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