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AleksAgata [21]
3 years ago
12

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

Mathematics
2 answers:
Flura [38]3 years ago
4 0
The graph went left 1 and up 6. You could complete the square to find out or just graph it!
Hope this helps!
Shtirlitz [24]3 years ago
4 0

Answer:

Translation: Shift 1 unit left and 5 unit up

Step-by-step explanation:

Given: f(x)=x^2

Translation function, g(x)=x^2+2x+6

First we change g(x) into vertex form and then check the translation.

g(x)=x^2+2x+6

Completing square

g(x)=(x^2+2x+1)+5

g(x)=(x+1)^2+5                     \because a^2+2ab+b^2=(a+b)^2

Now, we will compare the function with f(x)

f(x)=x^2

Shift f(x) 1 unit left

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

Shift f(x) 5 unit up

f(x)=(x+1)^2+5=g(x)

Translation: 1 unit left and 5 unit up

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Step-by-step explanation:

1 7/8 - 1/8= 1 6/8

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2 years ago
Cindy is baking a 2-layer cake. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What
Alenkinab [10]

The difference in area between the top surfaces of the two cakes is 28.26 inches²

<h3>Area of a circle</h3>
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where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

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area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows:

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learn more on circle here: brainly.com/question/10264279

5 0
2 years ago
F(x) = 3x + 5<br> g(x) = 4x? - 2<br> h(x) = x² – 3x + 1<br> Find f(x) + g(x) – h(x)
inysia [295]

Answer:

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3 years ago
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% decrease =[ (2.89 - 2.83) / 2.89] * 100 =  2.08, which can be rounded to 2.1

Answer: 2.1 %
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3 years ago
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