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Tema [17]
1 year ago
13

Select ALL the correct answers. Consider the graph given below. A diagonal curve declines from (negative 2, 10), (0, 6), (1, 4),

(2, 2), (3, 0), (4, negative 2), (5, negative 4), (6, negative 6), (7, negative 8),and (8, negative 10) on an x y coordinate plane. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
Mathematics
1 answer:
natulia [17]1 year ago
3 0

The sequences of transformations that could be applied to the parent function, f(x) = x, to obtain the graph are; Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.

<h3>How to carry out transformations?</h3>

We are given the parent function:

f(x) = x

If we draw it on the coordinate plane, then the transformed function when compared to the original function will be gotten as: y = -2x + 6

Now, the only way that the given graph can be transformed to the coordinates given in the question is;

Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.

Read more about Transformations at; brainly.com/question/4289712

#SPJ1

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You just paid $435,000 for a policy that will pay you and your heirs $17,300 per year forever with the first payment in one year
Marysya12 [62]

Answer:

3.98%

Step-by-step explanation:

R = $17,300/$435,000 = .0398, or 3.98%

5 0
2 years ago
What is the volume of a sphere with a diameter of 5.4 ft, rounded to the nearest tenth of a cubic foot?
Lelechka [254]

Answer:

82.4 ft^3

Step-by-step explanation:

Diameter=5.4ft

Radius=diameter/2

=5.4ft/2

=2.7ft

π=3.14

Volume of a sphere=4/3πr^3

=4/3×3.14×2.7^3

=4/3×3.14×19.683

=4/3×61.80462

=247.21848/3

=82.40616

Approximately

82.4 ft^3

7 0
2 years ago
Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x
Elina [12.6K]

(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2

=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity

4 0
3 years ago
Factorization of 3x2-8x-3
pychu [463]
<span>3x</span>² <span>- 8x -3  = 3x</span>² - 9x + x - 3 =

= 3x² - 9x + x - 3 = 3x* ( x - 3) + 1* (x - 3) = 

= 3x * (x - 3) + 1 * (x - 3) = (3x + 1) (x - 3) 

Answer (3x + 1) (x - 3)

3 0
3 years ago
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This isn't really a school-related question.It's more of a conflict I have with my self. So: I have a friend that constantly cop
ycow [4]
Well to be honest, you need to straight forward to her and tell her that you do not appreciate her copying you and tell her you dont want to be rude or anything, but this needs to stop.
8 0
3 years ago
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