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Flura [38]
3 years ago
11

Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = −

Mathematics
1 answer:
storchak [24]3 years ago
4 0

Answer:

B) reflected over x-axis, compressed vertically, shifted right 2 units, and shifted up 3 units

Step-by-step explanation:

ƒ(x) = −⅛(x − 2)² + 3

- minus indicates reflection along the x-axis

⅛ indicates a vertical compression

x - 2 indicates 2 units towards right

+3 indicates 3 units upwards

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In the diagram below, NO is parallel to K L. If KN = 7, NO = 10, and
Vesnalui [34]
<h3>Answer:  14</h3>

=====================================================

Work Shown:

\frac{\text{KM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{\text{KN}+\text{NM}}{\text{NM}} = \frac{\text{KL}}{\text{NO}}\\\\\frac{7+x}{x} = \frac{15}{10}\\\\10(7+x) = 15x\\\\

70+10x = 15x\\\\70 = 15x-10x\\\\5x = 70\\\\x = \frac{70}{5}\\\\x = 14\\\\\text{NM} = 14

Side note: The triangles are similar, which allows us to set up the proportion in step 1.

3 0
2 years ago
Help it’s homework!!!!
Airida [17]

Answer:

(3x - 3)(x + 2)

Step-by-step explanation:

3x^2 + 3x - 6

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3x(x + 2) -3(x + 2)

(3x - 3)(x + 2)

3 0
3 years ago
Simplify: -6x+3y-2x-5y
meriva

Answer:

-8x-2y

Step-by-step explanation:

Combine Like Terms (-6x + -2x) and (-5y + 3y).

5 0
3 years ago
Read 2 more answers
Determine the intervals on which the function is increasing, decreasing and constant
viva [34]

Answer:

  • increasing: (-∞, 0)
  • decreasing: (0, ∞)

Step-by-step explanation:

The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...

  increasing from -∞ to 0 (not including 0)

  decreasing from 0 to +∞ (not including 0)

_____

At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.

6 0
3 years ago
If the altitude of an equilateral triangle is 9 what is the perimeter
Volgvan
The angles in an equilateral triangle  are 60 degrees.

sin 60 = 9 / h     where h is  hypotenuse ( = side of the triangle)

h = 9 / sin 60 = 10.392

Perimeter = 3 * h = 31.18  to nearest hundredth
3 0
3 years ago
Read 2 more answers
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