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Sav [38]
3 years ago
16

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

Mathematics
2 answers:
Galina-37 [17]3 years ago
6 0

Answer with explanation:

The graph of the function is:

   f(x)=x² -b²

Here, b is any Real Number.

f(x)=x² - k, where, k=b².

→y+k=x²

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

→The curve will open vertically Upwards having y axis as Line of Axis.

→It will cut, x axis at two points, if , k<0 and does not cuts the x axis , if k>0.

→Line, x=0, divides the Parabola into two equal Parts.

netineya [11]3 years ago
3 0

Given equation is f\left(x\right)=x^2-b^2.

Now we need to find about what are the key aspects of the graph of f\left(x\right)=x^2-b^2, where b is a real number.

We know that square of any number is always positive.

then b^2 must be a positive number.

So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by b^2 units as compared to the graph of parent function f\left(x\right)=x^2

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3 years ago
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Correct choice is A

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What value of θ makes sinθ = cos60° a true statement?
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Step-by-step explanation:

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On a certain hot summers day , 293 people used the public swimming pool. Daily prices are $1.50 for children and $2.50 for adult
fredd [130]

C = children

A = adults

293 = c + a

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