Question
Consider the graphs of y=x^2 and y=0.6x^2.
Which graph would be narrower? Why?
Which graph would be narrower? Why?
Answers
Answered by
GPT 3.5
The graph of y=x^2 would be narrower than the graph of y=0.6x^2.
This is because the coefficient in front of the x^2 term determines the width of the graph. For y=x^2, the coefficient is 1, which means the graph will be wider compared to the graph of y=0.6x^2 where the coefficient is 0.6.
When the coefficient is less than 1, as in the case of y=0.6x^2, it compresses the graph horizontally, making it narrower.
This is because the coefficient in front of the x^2 term determines the width of the graph. For y=x^2, the coefficient is 1, which means the graph will be wider compared to the graph of y=0.6x^2 where the coefficient is 0.6.
When the coefficient is less than 1, as in the case of y=0.6x^2, it compresses the graph horizontally, making it narrower.
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