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Sagot :
Step-by-step explanation:
For y = x², y = 0 when x = 0.
For y = (x + 14)², y = 0 when x = -14.
Notice that the zero of the function has went from 0 to -14, or 14 units to the left.
The answer is "Shift the graph of y = x² left 14 units.".
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.
Step-by-step explanation:
Please check the attached graph.
- The blue graph is representing the graph of y = x².
- The red graph is representing the graph of y = (x + 14)².
If we carefully analyze the given graph which is attached below, it is clear that the given graph y = (x + 14)² is the transformed image of form f(x+b) of parent graph y = x².
In this graph, the function y = x² has been moved over 14 units to the left.
In other words,
f(x+2) = f(x+14)² means the function f(x) is shifted 14 units to the left.
Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x + 14)² by shifting the graph of y = x² left 14 units.
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