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Goryan [66]
3 years ago
10

Given the function f(x) =-2x+3x^2-5, what is the right end behavior

Mathematics
1 answer:
Leto [7]3 years ago
8 0
The right-end behaviour of all polynomials is always (i.e. whether highest power is odd or even) increasing when the leading coefficient (coefficient of the highest powered variable) is positive.
Otherwise, it is decreasing.

The leading coefficient is +3 (i.e. positive), corresponding to the term +3x^2.
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grigory [225]

Answer and Step-by-step explanation:

The answer is the last answer choice.

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

We don't even have to look at the numbers to tell that this is the correct answer. We look at what is being placed there.

The equation for a transformed function is:

f(x) = a(x-h)^2 + k

a determines the scale of the graph and whether the graph opens up or down.

h determines whether the graph shifts left or right.

k determines whether the graph shifts up or down.

We see that there is a -1 for a, which means the graph will be facing downwards. We see a 2 for where h is, but it really is a -2, and when it becomes a positive after simplifying, the graph will shift to the left.

k is a positive 1, so the graph will be shifted up 1 unit.

<u>Thus, the answer is the last answer choice.</u>

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5 0
3 years ago
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A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angles between the ground an
jeka57 [31]
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7 0
3 years ago
A circle is divided into three arcs of measures x 2x and 3x what’s the value of x
lidiya [134]

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree

Hence, the arc measurement x is 60°

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What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?
Margaret [11]

Answer:

P' = (-10,-8)

Step-by-step explanation:

Given

P = (-5,-4)

k =2

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

P' = P * k

This gives:

P' = (-5,-4) * 2

P' = (-5* 2,-4* 2)

P' = (-10,-8)

<em>Hence, the image P' after dilating P is (-10,-8)</em>

7 0
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