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Digiron [165]
3 years ago
5

F(x)=x what is the equation of the new function shift 8 units left shift 3 units down

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0
Think of the equation of a linear function:  
Recall y = mx + b   for vertical shifts, we just add or subtract from 'b' and that will move the line up or down accordingly.. However, for horizontal shifts, we will need to add or subtract from 'x'.  Note that the slope or 'm' stays the same for each type of shift.  

Now that we know how the shifts occur, we might consider a different form of the equation for a linear function:  y = a(x - h) + k  here the 'a' is just our slope, 'k' is our original y intercept, and 'h' will represent the amount of horizontal shift.  

So to get the desired transformations of a horizontal shift to the left of 8 and a vertical shift of down 3 from our original function y = x, we can make the following changes:   y = (x + 8) - 3  Now you might be confused with how we got the 'x + 8'..   Let's consider values of 'h'.  For positive values of h, the result will be a shift to the right and for negative values of h the result will be a shift to the left.  So since we want a shift to the left we need to use a '-8' and when we substitute that into our new form, y = (x - h) + k you can see the sign change.  

Now we can simplify of course and get the final equation: y = x + 5 or in function form f(x) = x + 5
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Three is subtracted from the product of a certain number and 6. This produces the same value as when 11 is added to the product
Thepotemich [5.8K]

Answer:

x = 2.

Step-by-step explanation:

Let the number be x.

Write it as an equation :-

6x - 3 = -1x + 11

6x + 1x = 11 + 3

7x = 14

x = 2.

7 0
2 years ago
.......Help Please.........
Sveta_85 [38]

Answer:

57% to the nearest whole number

Step-by-step explanation:

That is (80/139.3) * 100

= 0.5743  * 100

= 57.43%.

8 0
3 years ago
How much money should the company spend on marketing each month?​
o-na [289]

The function represents the profit, and the company obviously wants to maximize it.

You can see that the profit increases until the parabola reaches its maximum.

The coordinate of the maximum look like (1.5, 90)

This means that, if the company invests 1.5 thousand dollars, the profit will be 90 thousand dollars, and this is the maximum profit the company can reach.

7 0
3 years ago
What is true about the complex number -5 - 5i?
Svetlanka [38]

Answer:

B: quadrant 3

D: 5sqrt2

Step-by-step explanation:

7 0
3 years ago
Hope someone can help me with this
Norma-Jean [14]
Hi,

To find the volume of cylinder this formula is required.

v = \pi {r}^{2} h

To get radius you need to divide diameter with 2 like this.

80 \div 2 = 40

Now just put your values into formula.

v = \pi {40}^{2}  \times 130 \\ v =653451.27

You will need 653451.27 cubic centimetres of concrete.

Hope this helps.
r3t40
7 0
2 years ago
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