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horsena [70]
2 years ago
14

PLEASE HELP IM FAILING ALGEBRA!!(answer all 3 problems) (SHOW WORK)

Mathematics
1 answer:
Lena [83]2 years ago
5 0

Hope this helps You ;)

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Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):
Rus_ich [418]

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

5 0
3 years ago
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Which equation represents a parabola that opens upward has a minimum at x=3 and has a line of symmetry at x=3
umka2103 [35]

Answer:

y=x^2-6x+5

Step-by-step explanation:

Let us consider the equation y=x^2-6x+5

For a quadratic equation in a standard form, y=ax^2+bx+c, the axis of symmetry is the vertical line x = \frac{-b}{2a}.

Here in this case we have, a=1, b=-6 , c =5

Putting the values we get,

x = \frac{-(-6)}{2\times 1} = \frac{6}{2} =3

We can see that the axis of symmetry is x=3 and the graph is giving minimum at x=3.

Therefore, the required equation is y=x^2-6x+5. Refer the image attached.


4 0
3 years ago
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Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?
tensa zangetsu [6.8K]
<span>2.5 – 1.2x < 6.5 – 3.2x

-1.2x + 3.2x < 6.5 - 2.5

3.2x - 1.2x < 4

2x < 4

x < 4/2

x < 2</span>
3 0
2 years ago
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Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
faltersainse [42]

Answer:

Step 1) y=16-x2. Swap the sides so that all terms of the variables are on the left side. Step 2) 16-x_{2}=y. Subtract 16 from both sides. Step 3) -x_{2}=y-16 Divide the two sides by -1. Step 4). \frac{-x_{2}}{-1}=\frac{y-16}{-1} Dividing by -1 undoes the multiplication by -1. Step 5). x_{2}=\frac{y-16}{-1} Step 6) dived y-16 by -1 And the final answer = x_{2}=16-y

Step-by-step explanation:

7 0
2 years ago
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Hello all, I have a short time frame to finish and urgently need help on these 2 problems.
HACTEHA [7]

Answer:

Step-by-step explanation:

3 0
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