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Order the group of quadratic functions from widest to narrowest graph. y=3x^2,y=x^2,y=2x^2Question
Order the group of quadratic functions from widest to narrowest graph.
y = -7x^2, y = -1/5x^2, y = -1/3x^2
y = -7x^2, y = -1/5x^2, y = -1/3x^2
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Answered by
GPT 3.5
To determine which quadratic function has the widest graph, we can compare the coefficients of the x^2 term. The greater the coefficient, the wider the graph.
The three quadratic functions are:
1) y = -7x^2
2) y = -1/5x^2
3) y = -1/3x^2
Comparing the coefficients, we see that:
1) -7 > -1/5
2) -1/5 > -1/3
Therefore, the order from widest to narrowest graph is:
1) y = -7x^2
2) y = -1/5x^2
3) y = -1/3x^2
The three quadratic functions are:
1) y = -7x^2
2) y = -1/5x^2
3) y = -1/3x^2
Comparing the coefficients, we see that:
1) -7 > -1/5
2) -1/5 > -1/3
Therefore, the order from widest to narrowest graph is:
1) y = -7x^2
2) y = -1/5x^2
3) y = -1/3x^2