f(x)=x2𝑓(𝑥)=𝑥2 → shifted 3 units right and reflected across y-axis Question 12Select one:a.f(x)=(−x−3)2𝑓(𝑥)=(−𝑥−3)2b.f(x)=−(−x+3)2𝑓(𝑥)=−(−𝑥+3)2c.f(x)=(x−3)2𝑓(𝑥)=(𝑥−3)2d.f(x)=(−x+3)2
Question
f(x)=x2𝑓(𝑥)=𝑥2 → shifted 3 units right and reflected across y-axis Question 12Select one:a.f(x)=(−x−3)2𝑓(𝑥)=(−𝑥−3)2b.f(x)=−(−x+3)2𝑓(𝑥)=−(−𝑥+3)2c.f(x)=(x−3)2𝑓(𝑥)=(𝑥−3)2d.f(x)=(−x+3)2
Solution
The correct answer is a. f(x)=(−x−3)2. This function represents the original function f(x)=x^2 shifted 3 units to the right and reflected across the y-axis. The negative sign in front of x causes the reflection across the y-axis, and the minus 3 inside the parentheses causes the shift to the right.
Similar Questions
Identify the transformation equation below for the following function: f(x)=x2𝑓(𝑥)=𝑥2 → shifted 3 units right and reflected across y-axis Question 12Select one:a.f(x)=(−x−3)2𝑓(𝑥)=(−𝑥−3)2b.f(x)=−(−x+3)2𝑓(𝑥)=−(−𝑥+3)2c.f(x)=(x−3)2𝑓(𝑥)=(𝑥−3)2d.f(x)=(−x+3)2
How does the graph of 𝑓(𝑥)=−32𝑥−4f(x)=−3 2x −4 differ from the graph of 𝑔(𝑥)=−32𝑥g(x)=−3 2x ?A.The graph of 𝑓(𝑥)f(x) is shifted four units to the right of the graph of 𝑔(𝑥)g(x).B.The graph of 𝑓(𝑥)f(x) is shifted four units down from the graph of 𝑔(𝑥)g(x).C.The graph of 𝑓(𝑥)f(x) is shifted four units up from the graph of 𝑔(𝑥)g(x).D.The graph of 𝑓(𝑥)f(x) is shifted four units to the left of the graph of 𝑔(𝑥)g(x).SUBMITarrow_backPREVIOUS
Instructions: For the function given, determine the direction and amount of horizontal shift from the original function y=(3)x𝑦=(3)𝑥.y=3x−2+3𝑦=3𝑥−2+3Horizontal shift Answer 1 Question 4 Answer 2 Question 4 unit(s).
Consider the function f(x)=2x.a) Write the equation for the function g(x) obtained by shifting f(x) three units to the up.b) Determine the domain and range of g(x).c) Now, consider h(x)=−2x. Describe the transformation applied to f(x) to obtain h(x).d) Sketch the graphs of f(x), g(x), and h(x) on the same set of axes.
.Reflection on origin of y =3f(x)is*-3f(-x)-3f(x)3f(-x)¹/₃ f(x)
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