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skelet666 [1.2K]
3 years ago
10

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

Mathematics
2 answers:
LekaFEV [45]3 years ago
5 0
For f(x) to be g(x), the equation f(x) would shift left one
swat323 years ago
4 0

Answer:

graph of g(x) will be translated 1 unit to the left

Step-by-step explanation:

g(x) = x^2 + 2x +1

LEts write the given g(x) in vertex form

WE apply completing the square method

WE take coefficient of x and then divide it by 2 and then square it

2 by 2= 1

1^2=1

add and subtract 1

g(x) = x^2 + 2x +1

g(x) =(x^2 + 2x +1)-1+1

now we factor  x^2+2x+1= (x+1)(x+1)

g(x) =(x+1)(x+1)-1+1

g(x) =(x+1)^2

Now we compare with the graph of f(x)= x^2

In g(x), 1 is added with x

So graph of g(x) will be translated 1 unit to the left

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Answer:

Step-by-step explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

3 0
3 years ago
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Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20%
Mariana [72]

Answer:

36%

Step-by-step explanation:

the <em>complement </em>of it raining on at least one of these days = it not raining on any day

this means that if it does not rain on at least one day, it does not rain on any day

thus,

1 - probability of it not raining at all = probability it rains at least one day

probability it doesn't rain on monday = 1- 20% = 80%

probability it doesn't rain on tuesday = 1 - 20% = 80%

probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all

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8 0
2 years ago
What is the algebraic rule?? And how do you find out what algebraic rule on a graph is (x,y)to (x,y+10)??? I know how to find ba
Arlecino [84]

Answer:

  (x, y) ⇒ (-x, y)

Step-by-step explanation:

When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.

Here, vertices VWX are in <em>clockwise</em> order. The corresponding vertices V'W'X' are in <em>counterclockwise</em> order. For that to happen, there must be a reflection involved.

The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.

The algebraic rule for these two figures is ...

  (x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes

__

<em>Additional comment</em>

No rotation is involved here.

The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This <em>is</em> the algebraic rule.

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Step-by-step explanation:

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