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leva [86]
3 years ago
12

The function f(x) = x2 is transformed to f(x) = {(x - 2)2. Which statement describes the effect(s) of the transformation on the

graph
of the original function?
A)
The parabola is narrower and shifted 2 units to the right.
B)
The parabola is narrower and shifted 2 units to the left.
The parabola is wider and shifted 2 units to the right.
D)
The parabola is wider and shifted 2 units to the left.
Mathematics
1 answer:
telo118 [61]3 years ago
7 0

Answer:  

B) The parabola is narrower.

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What is the length of BD?
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Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

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0

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Which of the following expressions represents the solution to -2x ≤ -10?
miv72 [106K]

x=4,3,2 or,1 are the possible

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Aleonysh [2.5K]

Answer:

A. y=3x-10

C. y+6=3(x-15)

Step-by-step explanation:

Given:

The given line is 6x+18y=5

Express this in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept.

6x+18y=5\\18y=-6x+5\\y=-\frac{6}{18}x+\frac{5}{18}\\y=-\frac{1}{3}x+\frac{5}{18}

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Let us find the slopes of each lines.

Option A:

y=3x-10

On comparing with the slope-intercept form, we get slope as  m_{A}=3.

Now, m\times m_{A}=-\frac{1}{3}\times 3=-1. So, option A is perpendicular to the given line.

Option B:

For lines of the form x=a, where, a is a constant, the slope is undefined. So, option B is incorrect.

Option C:

On comparing with the slope-point form, we get slope as  m_{C}=3.

Now, m\times m_{C}=-\frac{1}{3}\times 3=-1. So, option C is perpendicular to the given line.

Option D:

3x+9y=8\\9y=-3x+8\\y=-\frac{3}{9}x+\frac{8}{9}\\y=-\frac{1}{3}x+\frac{8}{9}

On comparing with the slope-intercept form, we get slope as  m_{D}=-\frac{1}{3}.

Now, m\times m_{D}=-\frac{1}{3}\times -\frac{1}{3}=\frac{1}{9}. So, option D is not perpendicular to the given line.

8 0
3 years ago
If the volume of the figure below is 4,069.44ft3 find the missing dimension
olga_2 [115]

Answer:

x = 9 ft

Step-by-step explanation:

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Take the square root of each side

sqrt(81) = sqrt(x^2)

x = 9

3 0
4 years ago
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