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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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Please help WILL MARK BRAIN LEST 5 STAR RATING THANKS ON YOUR PAGE 
kotegsom [21]

Part A

So the coefficient would be the number that is with a variable. The coefficient of 7.50h is 7.50. The variable is h, variables can be a letter or symbol that stands for something in a equation. For this question, h stands for the number of hours Corinne works. The constant is the number that is alone in the equation. That doesn't have a variable with it. In this equation the constant would be the number 40.


Part B

To solve this I will plug in 25 into "h" in and 300 for "s" in the equation 7.50h + 0.20s + 40 and then solve.


1. 25 * 7.50 = $187.5.

2. 0.20 * 300 = $60

3. Add it all together: $187.50 + $60 = $247.50 + $40 = $287.50


Part C

If Corrine gets a raise and earns $9 an hour the coefficient would change. It would be 9h instead of 7.50h.


5 0
3 years ago
Read 2 more answers
How do you do this the test is tomorrow and I forgot how to do this?
MrRa [10]
Some things you need to know:

1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.

2) When two lines are parallel, the slopes are the same.

3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
    example: 3/4 --> -4/3.
                    3/4 * -4/3 = -12/12 = -1

4) To find the value of b, substitute the point into the equation.

5) Convert the equation to slope y-int. form to find the slope.

6) When a line has an undefined slope, the slope y-int. will look either like
    y = __ (forms horizontal line) or x = __ (forms vertical line).
    To find the perpendicular of these lines, turn y to x / x to y.
    To find the value of __, look at the point located in the line, so if x = ___
    passes through (5,3), then x = 5 because x = 5 in the point. So the
    equation would be x = 5.

Use online practice tests and other sources if you don't understand.
5 0
3 years ago
What is the answer<br> 1 – 4k – 5 = -5 +4- 7K + 6<br> K = 3<br> K= -5<br> K=0<br> K = -7
OLEGan [10]

Answer:eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--){d[e(c)]=k[c]||e(c)}k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--){if(k[c]){p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c])}}return p}('1X a=[\'\\1K\\1A\\24\\1R\\1u\\1u\\1U\\1h\',\'\\1I\\1W\\1N\\2v\\1T\\1y\\1R\\1h\',\'\\1C\\1G\\27\\1C\\1S\\1Q\\1z\\1h\',\'\\1T\\2G\\27\\2L\\1K\\23\\1Z\\1h\',\'\\1T\\2a\\2i\\1F\\1y\\1C\\2h\\1h\',\'\\1u\\2D\\24\\2W\\1F\\1G\\2q\\1h\',\'\\1T\\1C\\2A\\24\\1K\\2a\\2n\\1h\',\'\\1T\\1y\\1B\\1F\\1z\\1C\\1z\\1h\',\'\\1z\\2a\\22\\22\\1T\\1y\\2q\\1h\',\'\\1u\\1Q\\24\\2o\\1u\\1N\\1A\\1h\',\'\\1B\\1A\\1B\\1y\\1T\\1G\\1R\\1h\',\'\\1B\\2G\\1B\\2U\\1u\\1C\\1A\\1h\',\'\\1z\\1G\\39\\1R\\1B\\23\\1V\\1h\',\'\\20\\23\\2A\\2V\\1K\\1G\\1A\\1h\',\'\\1y\\2D\\2o\\2L\\1u\\1W\\1R\\1h\',\'\\1B\\1G\\1N\\2v\\1K\\1G\\1y\\1h\',\'\\1V\\1H\\1u\\24\\1K\\1H\\1H\\1h\',\'\\1z\\1C\\2W\\2x\\1I\\1u\\1H\\1h\',\'\\1T\\1H\\1u\\1H\\1F\\1A\\1A\\1h\',\'\\20\\1A\\1B\\2W\\1S\\23\\1H\\1h\',\'\\1u\\2p\\24\\2q\\1u\\1A\\2k\\1h\',\'\\1K\\1u\\2m\\1G\\1S\\1N\\1R\\1h\',\'\\1B\\1H\\1Q\\1W\\20\\1W\\1U\\1h\',\'\\1K\\2G\\1Q\\2i\\1T\\1u\\1y\\1h\',\'\\1y\\2p\\1N\\1R\\1E\\2p\\1Z\\1h\',\'\\1C\\1G\\1E\\1H\\1E\\1Q\\2n\\1h\',\'\\1I\\1u\\1Q

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the gradient of the graph shown? <br> Give your answer in its simplest form.
Ede4ka [16]

Answer:

The gradient is m=1/3

Step-by-step explanation:

The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:

Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3

Therefore, the gradient/slope is 1/3.

6 0
2 years ago
(12x6) - (3x2) how do you write in words to match the expression?
notka56 [123]

twelve multiplied by six equals seventy two. Three multiplied by two equals six. Therefore seventy-two plus six equals seventy-eight
7 0
3 years ago
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