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3 years ago

Describe the transformation from the parent function y=(x+4)^2-1

Mathematics

1 answer:

Degger [83]3 years ago

3 0

Answer:

Translation 4 units to the left., followed by

a translation 1 unit down.

Step-by-step explanation:

The parent function is y = x^2 which is a parabola that opens upwards and has a vertex at the point (0,0).

Y = (x + 4)^2 is the graph of x^2 translated 4 units to the left.

The - 1 translates the graph down 1 unit.

So the vertex of the new graph is at (-4, 1).

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Write the point-slope form of the line that passes through (5, 5) and is PARALLEL to a line with a slope of 1/4. Include all of

lesya692 [45]

Parallel lines will have the same slope

y - y1 = m(x - 1)
slope(m) = 1/4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = 1/4(x - 5) <==== ur parallel line
==================
perpendiculr lines will have a negative reciprocal slope. To find the negative reciprocal, u flip the number and change the sign. So the negative reciprocal of 1/4 is -4....see how I flipped 1/4 and made it 4/1...then changed the sign making it -4/1 or just -4. That will be ur slope of the perpendicular line.

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <=== ur perpendicular line

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3 years ago

There are 120 planes on an airfield. If 75% of the planes take off, how many planes took off?

Soloha48 [4]

Answer:

You have to do 120 divided by 0.75 use a calculator

Step-by-step explanation:

7 0

3 years ago

What is the simplified form of StartRoot StartFraction 72 x Superscript 16 Baseline Over 50 x Superscript 36 Baseline EndFractio

aalyn [17]

Answer:

StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction

Step-by-step explanation:

Apparently you want to simplify ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}$

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

1/a^b = a^-b

(a^b)^c = a^(bc)

So the expression simplifies as ...

$\sqrt{\dfrac{72x^{16}}{50x^{36}}}=\sqrt{\dfrac{36}{25x^{36-16}}}=\sqrt{\dfrac{36}{25x^{20}}}\\\\\sqrt{\left(\dfrac{6}{5x^{10}}\right)^2}=\boxed{\dfrac{6}{5x^{10}}}$

9 0

3 years ago

Pls help me i dont care if u get it wrong it wont bother me but pls help me :/

Naddika [18.5K]

Answer:

3; 6; 9; 12; 15; 18;

Step-by-step explanation:

Multiples of 3:

3*1=3

3*2=6

3*3=9

3*4=12

3*5=15

3*6=18

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3 years ago

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masha68 [24]

Answer:

sorry i dont know it but can i get brainliest i never got it

Step-by-step explanation:

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3 years ago