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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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Vikentia [17]
<span>(143(5) + 67)5
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Step-by-step explanation:

1 Sequence

The numbers are in a right order but starting from 6 and ending at 10....

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8 0
3 years ago
In a company 70% of the workers are men. If 1590 people work for the company who arent men, how many workers are there in all?
meriva

Answer:

5300

Step-by-step explanation:

1590 people are not men so they are women

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3 0
2 years ago
Read 2 more answers
Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her ​$8.47 per​ hour, while her job giving p
lorasvet [3.4K]

Answer:

she worked 9 hours at sporting goods store and 6 hours on piano lessons.

Step-by-step explanation:

total hours=15

8.47x + 17(15-x) = 178.23

8.47x + 225 - 17x = 178.23

225 - 178.23 = 17x - 8.47x

76.77 = 8.53x

x = 76.77 / 8.53

x = 9

therefore she worked 9 hours at sporting goods centre and the remaining hours (15-9) giving piano lessons.

4 0
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