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otez555 [7]
3 years ago
5

Given the function f(x) = x^2, which of the following represents a vertical shift of 3 units up?

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

9514 1404 393

Answer:

  f(x) = x² +3

Step-by-step explanation:

The transformation

  g(x) = a·f((x -c)/b) +d

represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.

You want only an upward shift of 3, so ...

  g(x) = f(x) +3

For f(x) = x^2, the shifted function is ...

  f(x) = x^2 +3

__

Other choices are ...

  b. (x -3)^2 = right shift by 3

  c. 3x^2 = vertical expansion by a factor of 3

  d. (x +3)^2 = left shift by 3

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What is the domain of the function below? {(0,2), (3,1), (5,2), (8,4)}?
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(A*x + B*x^2 + C)*(E*x + F)
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3 years ago
Triangle ABC has vertices A( -3, 5) B ( 6, 9) and C ( -4, - 12) in the coordinate plane. The triangle is reflected over the x- a
hichkok12 [17]

Answer:

The coordinates of triangle A"B"C" will become

A( 5,-3  )  B( 9,6 )  C( -12 ,-4 )

Step-by-step explanation:

Original vertices of triangle ABC are ;

A ( -3, 5 ) B( 6, 9 )  C ( -4, -12 )

after reflection over x-axis

A( -3,-5 )   B( 6, -9 )  C( -4,12 )

when the triangle is rotated

x coordinates becomes -y  while y coordinates becomes x

The coordinates of triangle A"B"C" will become

A( 5,-3  )  B( 9,6 )  C( -12 ,-4 )

8 0
3 years ago
3 1/8 ( 2/3 +2 2/3 (1 1/4 − 6/5 ))
pentagon [3]

The answer would be -9/40

Here’s how you solve it!

Use PEMDAS through out the whole process

Anything that I should multiplied by 1 stays the same so you can multiply the 1 first so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(1/4➖6/5))

Now subtract the fractions that are in the parentheses, subtract 1/4➖6/5 so your equation looks like this:

3✖️1/8✖️(2/3➕2✖️2/3✖️(➖19/20))

Since a positive multiplied by a negative equals a negative change the sign so your equation should look like this:

3✖️1/8✖️(2/3➖2✖️2/3✖️19/20)

Then use the greatest common divisor and reduce it by 2

3✖️1/8✖️(2/3➖2/3✖️19/10)

Then reduce again

3✖️1/8✖️(2/3➖1/3✖️19/5)

Then multiply the two factors so it now looks like this:

3✖️1/8✖️(2/3➖19/15)

Now subtract what’s in the parentheses so you get this:

3✖️1/8✖️(➖3/5)

Since a positive multiplied by a negative equals a negative it will now look like this:

➖3✖️1/8✖️3/5

Now all you have to do left is calculate the product to get your answer:

-9/40


Hope this helps! :3

7 0
4 years ago
PLS HELP I'LL MARK BRAINLEST
Alina [70]

Answer:

they are alternate exterior angles

Step-by-step explanation:

They are on the outside so they are exterior

4 0
3 years ago
Mr. Wilson has $2,500 in his savings account and m dollars in his checking account Write an expression that describes the total
marissa [1.9K]

Expression: 2500 + m

Just substitute m with 300 and solve like that.

2500 + 300 = 2800

5 0
3 years ago
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