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Softa [21]
3 years ago
11

(02.05 MC)

Mathematics
2 answers:
8090 [49]3 years ago
8 0
Dilation by a scale factor of 2 followed by reflection about the x-axis
Sati [7]3 years ago
3 0

Answer:

<em>Dilation by a scale factor of 2 followed by reflection about the x-axis</em>

Step-by-step explanation:

To answer it and view it properly let's do it by parts.

1) A closer look at the Triangle ABC shows us the coordinate points A(-2,-1) B(0,0) and C(1,-3).

2) Reflection across the x-axis gives us this triangle: A'(-2,1) B'(0,0) and C'(1,3). Notice that all y-coordinates have an opposite sign. This is a natural characteristic of a Reflection: an opposed sign of one Coordinate.

3) Finally, To Dilate a Triangle is to transform it so that it gets bigger than its original size.

If we compare the triangle with points  A''(-4,2) B"(0,0) and C"(2,6) to A'(-2,1) B'(0,0) C'(1,3). Each coordinate is multiplied by 2.

Dilation by a scale factor of 2 followed by reflection about the x-axis

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Graph y= x^2+3x+2. identify the vertex and axis of symmetry
dlinn [17]
Axis or sym. is -1.5. vertex is ( -.25,-1.5)

5 0
3 years ago
write the equation of the parabola and a vertex form and standard form given the following information​
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

(9)

Here (h, k) = (3, - 2), thus

y = a(x - 3)² - 2

To find a substitute (2, 3) into the equation

3 = a(2 - 3)² - 2 ( add 2 to both sides )

5 = a(- 1)² = a , then

y = 5(x - 3)² - 2 ← in vertex form

y = 5(x² - 6x + 9) - 2

   = 5x² - 30x + 45 - 2

y = 5x² - 30x + 43 ← in standard form

(10)

Here (h, k) = (2, - 5), thus

y = a(x - 2)² - 5

To find a substitute (5, 4) into the equation

4 = a(5 - 2)² - 5 ( add 5 to both sides )

9 = a(- 3)² = 9a ( divide both sides by 9 )

a = 1

y = (x - 2)² - 5 ← in vertex form

y = x² - 4x + 4 - 5

y = x² - 4x - 1 ← in standard form

4 0
3 years ago
Read 2 more answers
The measure of arc QS is (4x – 18)°.
Zigmanuir [339]

Answer: 49.5

Step-by-step explanation:

7 0
3 years ago
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Rachel made $176 for 11 hours of work.
elena55 [62]

Answer:

8 hours

Step-by-step explanation:

11 hours = $176

⇒ 1 hour = $176 ÷ 11 = $16

To determine how many hours she would have to work to make $128, divide $128 by $16:

⇒ number of hours = $128 ÷ $16

                                = 8 hours

6 0
2 years ago
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Write 5,482 in expanded form
MakcuM [25]

Answer:

5000 + 400 + 80 + 2

5 0
3 years ago
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