What are the key aspects of the graph of f (x) = x2 - b2, where b is a real number?

Question

Mathematics

Felipe Romero

26 July, 07:59

What are the key aspects of the graph of f (x) = x2 - b2, where b is a real number?

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Answers (2)

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Landen Graves · Answer 1

Hello:

the key aspects are:

1) even function

2) symetrie axis - y

3) the curve is parbola

4) the vertex is : A (0; - b²)

5) the curve intercept-x in B (b; 0) C (-b; 0)

Harris · Answer 2

The x intercepts are b and - b

the graph has opposite x intercepts

the graph is symetrical over the y axis

the y intercept is at - b²