The graph of the linear function $y = f(x)$ is drawn on the co-ordinate grid below - Junior Cycle Mathematics - Question 13 - 2015
Question 13
The graph of the linear function $y = f(x)$ is drawn on the co-ordinate grid below.
Using the same axes, draw the graph of each of the following functions, where $-... show full transcript
Worked Solution & Example Answer:The graph of the linear function $y = f(x)$ is drawn on the co-ordinate grid below - Junior Cycle Mathematics - Question 13 - 2015
Step 1
Draw the graph of $y = f(x) + 2$
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Answer
To graph y=f(x)+2, take the original line y=f(x) and shift every point up by 2 units. For example, if a point on f(x) is (1, 3), the corresponding point on y=f(x)+2 would be (1, 5). After plotting this new line appropriately, label it clearly.
Step 2
Draw the graph of $y = -f(x)$
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Answer
To graph y=−f(x), reflect the original line y=f(x) across the x-axis. This means if the original line passes through (1, 3), the new line will pass through (1, -3). After plotting the reflected points, ensure to label this new graph clearly.
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