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GarryVolchara [31]
2 years ago
9

1.the graph of y = x² is moved five units upward

Mathematics
1 answer:
KonstantinChe [14]2 years ago
8 0

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

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Debora [2.8K]
The answer is x= 1/4
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4 0
2 years ago
X + 2xy- y^2 = 2<br><br> find dy/dx using implicit differentiation
AleksandrR [38]

Answer:

hope that helps

Step-by-step explanation:

3x^2+2xy+y2=2

6x + 2y + 2xy' + 2yy' = 0

x=1 ==> y=-1

6(1) + 2(-1) + 2(1)y' + 2(-1)y' = 0

6 - 2 + 2y' - 2y' = 0

4 = 0

(e) undefined

The graph is an ellipse. At (1,-1) there is a vertical tangent

8 0
2 years ago
One angle of a right triangle measures 70 degrees. What is the other acute angle?
Sunny_sXe [5.5K]

Answer:

20 degrees

Step-by-step explanation:

A triangle's angles should 180 degrees added together, so 90 + 70 = 160, leaving 20 for the last angle.

4 0
3 years ago
Is 1/14 4/5 and 1 2/9 right from least to greatest
Luden [163]

Answer:

1/14, 4/5, 1 2/9

Step-by-step explanation:

1/14 is the smallest, 4/5 comes next, and 1 2/9 is the greatest.

3 0
3 years ago
G(n)=n^3+n<br> g(-3)<br> help!
Svetradugi [14.3K]
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2 years ago
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