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

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

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Answer with explanation:

The graph of the function is:

f (x) = x² -b²

Here, b any True Number.

f (x) = x² – k, place, k = b².

→ y + k = x²

The given curve represents Parabola having a vertex at, (0, -k) which can be found by, adding, x = 0 and, y + k = 0 → y = -k.

→ The curve will open vertically upwards and the axis as an Axis Line.

→ It will cut, x axis at two points, if, k <0 agus ní ghearrann sé an ais x, más k> 0 is.

→ A line, x = 0, divides the Parabó into two equal Parts.