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In-s [12.5K]
3 years ago
13

A student graphed function f(x) =( x+2)² - 5. How would the new function be written if it is translated 3 units to the right, sh

ifted 2 units down and vertically stretched by a factor of 2?
Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Answer:

f(x)=2(x-3)-2

Step-by-step explanation:

when you hear if it translate to the right, it mean subtract " - "

so translate 3 unit right, it mean minus 3.

and same if translate left, it mean add, "+"

But if it mean shift down, it mean minus -

and if it mean shift up, it mean add +

so shift down 2 unit, mean -2

stretch factor of 2, mean multiply by 2

I hope this help! Im gonna explain further more if you have any question☺

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Lines and triangles practices
Marianna [84]
<1 = 123
60 + 63 = 123
180 - 123 = 57
180 n- 57 = 123

Triangle angle-sum theorem
Alternate exterior angles theorem (?)
Same side interior angles theorem

idk what the last one is about sorry

hope this helps


4 0
3 years ago
Write the equation for the line in slope intercept form ​
Helen [10]

Answer:

  y = -2x -3

Step-by-step explanation:

The line crosses the y-axis at -3, so that is the y-intercept.

It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)

The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:

   y = mx + b

For the values this line has, the equation is ...

   y = -2x -3

6 0
3 years ago
Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.
Alisiya [41]

Answer:

x ≈ 9.5 , y ≈ 15.3

Step-by-step explanation:

sin32° = \frac{opposite}{hypotenuse} = \frac{x}{18} ( multiply both sides by 18 )

18 × sin32° = x , then

x ≈ 9.5 ( to the nearest tenth )

cos32° = \frac{adjacent}{hypotenuse} = \frac{y}{18} ( multiply both sides by 18 )

18 × cos32° = y , then

y ≈ 15.3 ( to the nearest tenth )

5 0
2 years ago
Given that 2 x − 9 y = 22
aivan3 [116]

Answer:

y = -8/9

Step-by-step explanation:

2 ×(7) - 9 y = 22

14 - 9y = 22

9 y = -8

y = -8/9

3 0
2 years ago
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the d
aliina [53]

Answer:

210 by 120

Step-by-step explanation:

perimeter=2l+2w

length= 2w-30

width= w

2(2w-30+w) = 660

6w-60= 660

6w= 720

w=120

length= 2*120-30 = 210

6 0
2 years ago
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