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 $-6 ext{ } < ext{ } x ext{ } < ext{ } 6, ext{ } x ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } (a) $y = f(x) + 2$ (b) $y = -f(x)$

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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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The graph of the linear function $y = f(x)$ is drawn on the co-ordinate grid below - Junior Cycle Mathematics - Question 13 - 2015

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

Draw the graph of $y = f(x) + 2$

Draw the graph of $y = -f(x)$

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