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Question
Which of the following is the graph of f(2$)= |x| reflected on the x-axis, translated 3units left, 4 units up, and dilated by a factor of 4?
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Step 1:: Reflect the given graph of f(2$) = |x| on the x-axis.
Reflecting a graph on the x-axis results in changing the sign of the y-coordinates while keeping the x-coordinates the same. The absolute value function, f(2$) = |x|, is symmetric about the y-axis. After reflecting it on the x-axis, the graph remains symmetric about the y-axis but with open circles at the origin instead of closed ones.
Final Answer
Reflecting a graph on the x-axis results in changing the sign of the y-coordinates while keeping the x-coordinates the same. The absolute value function, f(2$) = |x|, is symmetric about the y-axis. After reflecting it on the x-axis, the graph remains symmetric about the y-axis but with open circles at the origin instead of closed ones.
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