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blondinia [14]
3 years ago
13

1. IF the function f(x) = 2(x – 3)2 – 4 is shifted vertically three units up and horizontally

Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Answer:

I believe it is 2(x-5)²−1

Step-by-step explanation:

The parentheses represent the horizontal shift. (X-__) is a shift to the right. (X+__) is a shift to the left. The last number of the function is the vertical shift. A negative number is shifting down and a post number is shifting up.

So, if the graph shifts up three units, then you add 3 + -4 to get -1. And if the graph shifts right 2 units, then you subtract 2 from -3 to get -5.

You might be interested in
A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium
gulaghasi [49]

Answer:

The probability is 406/625

Step-by-step explanation:

If they are of different materials, we have the following combinations of selection;

(gold and silver) or ( silver and titanium) or (gold and titanium )

The number of earrings present is 13 + 10 + 12 = 25

Probability of selecting a gold earring is 13/25

Probability of a silver is 10/25

Probability of a titanium is 12/25

Substituting these into the probabilities, we have;

(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)

= 130/625 + 120/625 + 156/625 = 406/625

8 0
3 years ago
9c+8-2 c+ (-4) solve
jasenka [17]
9c + 8 - 2c + -4

like terms

9c - 2c +8 +-4

7c + 4
8 0
3 years ago
Read 2 more answers
A positive two-digit number is represented by 10t + u. The sum of the squares of the digits is 26. If the number is decreased by
eimsori [14]
"<span>The sum of the squares of the digits is 26"
</span>10t + u = 26  ---->(1)

<span>"If the number is decreased by the number with its digits reversed, the result is 36"
u - 10t =36 -----> (2)

By subtracting the equation we can find t.
</span>  u+10t = 26)<span>
-(u-10t=36)</span>
______________
0u  +20t = 26 -36
---> 20t = -10
t= -10/20
t= -1/2

Inserting value t in (1)
10t + u = 26 
10(-1/2) + u= 26
-5+u=26
u= 26+5 = 31
<span>
Using u and t in the original expression 10t+u express a positive number

10t+u
= 10(-1/2) +u
= -5 + 31
= 26
----> Proves this statement is true 
</span>"The sum of the squares of the digits is 26"
10t + u = 26 <span>
</span>
5 0
3 years ago
Review:
alex41 [277]

Answer:

Step-by-step explanation:

Well 6 to the second power is when you multiply 6 x 6 = 36

And ab= -320

7 0
3 years ago
A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea
Andrej [43]
Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!
7 0
3 years ago
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