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Describe the graph of y=3x² and compare it with the graph of y=x2.

Sagot :

Plotting of functions:

• y = 3x²,

,

• y = x²,

we get the following curves:

1) Graph of y = 3x²

From the graph, we see that we have a parabola that:

• opens up,

,

• has the y-axis as the axis of symmetry,

,

• has the origin as its vertex.

2) Comparison

Comparing the graphs of y = 3x² and y = x², we see that both curves:

• opens up,

,

• has the y-axis as the axis of symmetry,

,

• has the origin as its vertex.

The difference between the curves is that y = 3x² grows up more rapidly than y = x², this is due to the multiplicative constant in front of x². For the same value of x, the function y = 3x² will be 3 times greater than the function y = x².

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