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2 years ago

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

Mathematics

2 answers:

sweet-ann [11.9K]2 years ago

7 0

Answer:

Step-by-step explanation:

Veronika [31]2 years ago

3 0

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

h=-1 means translate left one unit

k=5 means translate up 5 units.

Choose the first option: left 1 unit, up 5 units

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Given the triangle below, what is m triangleA, rounded to the nearest tenth?

Neko [114]

Answer:

The correct answer is option A 17.8°

Step-by-step explanation:

From the figure attached with this answer,

We can see a perpendicular from B to side AC

<u>To find BD</u>

In triangle BDC, its angles are 30°, 60° and 90°

Therefore the sides are in the ratio 1 :√3 : 2

Here BC = 11

BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11

Therefore BD = 11/2

<u>To find the value of m<A</u>

We have

Sin ∅ = Opposite side /Hypotenuse

AB = 18 and BD = 11/2

Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055

m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°

Therefore the correct answer is option A 17.8°

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2 years ago

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ololo11 [35]

Answer:

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2 years ago

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solniwko [45]

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3 years ago

What is the maximum number of possible solutions for the system shown below?

julsineya [31]

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3 years ago

Hi, I’m really struggling, if anyone knows, please could you help?

pshichka [43]

Answer: a) 26

Step-by-step explanation:

-a would be because as you can see there is a pattern of sticks, so what i did was count up the sticks and i found that there was 6 in the first one. So i counted the second one and it was 10 so i realized that all i had to do was add 4.

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3 years ago