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Kobotan [32]
3 years ago
8

The function,f, shifts the parent function 5 units

Mathematics
2 answers:
omeli [17]3 years ago
7 0

Answer:

To shift right 5 units equation needs to be: y=0.5(x-<u>5</u>)^2

To shift left 5 units equations needs to be y=0.5(x+<u>5</u>)^2

To shift up 5 units equation need to be y=0.5x^2 +<u>5</u>

To shift down 5 units equation need to be y=0.5x^2 -<u>5</u>

For the question with 8 units just replace all the <u>5</u> with 8.

makvit [3.9K]3 years ago
3 0

Answer: for 5 units it's right, for 8 units it's right

Step-by-step explanation:

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Write the expression for when you translate the graph of y = |3x− 5| one unit to the right. Plzz help
AfilCa [17]

Answer:

2<x<4/3

Step-by-step explanation:

Given the equation of a graph to be y = |3x− 5|, if the equation is one unit to the right, this can be expressed as |3x-5| > 1.

Solving the resulting equation

|3x-5| > 1.

Since the function 3x-5 is in a modulus sign, this means that the function can take both negative and positive values.

For positive value of the function;

+(3x-5) > 1

3x > 1+5

3x>6

x>6/3

x>2 ... (1)

For the negative value of the function;

-(3x-5) > 1

On expansion

-3x+5 > 1

-3x > 1-5

-3x > -4

Multiplying through by -1 will also change the inequality sign

x < -4/-3

x < 4/3...(2)

Combining equation 1 and 2, we have;

2<x<4/3

6 0
3 years ago
Read 2 more answers
Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
creativ13 [48]

Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.

You can think of it as y = 4x+0, and note how it's in the form y = mx+b

m = 4 = slope

b = 0 = y intercept

The y intercept is the value of y when x = 0.

--------

Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.

Or we could pick on row three and get y/x = 8/2 = 4.

Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.

For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.

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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.

For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.

7 0
3 years ago
What is 4x -1/2<br> =x+ 7
gogolik [260]

Answer:

Step-by-step explanation:

Bringing like terms on one side

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

5 0
3 years ago
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Can u guys please help me with my math homework.
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1.) circumference: 2(pi)r (use the pi sign) Area: pi(r^2)

2.) circumference: 2(pi)5=31.4
area: pi(5^2)=78.5

I’m not sure ab number 3 sorry :\
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Joaquin is constructing the perpendicular bisector of AB. What should be his
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The correct answer is C
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