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Mathematics 24 Online
zarkam21:

B right?

zarkam21:

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Vocaloid:

yeah good

zarkam21:

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Vocaloid:

just look at the +3 at the end - what direction does that shift the graph? up/down/left/right?

zarkam21:

C

Vocaloid:

|dw:1519189884561:dw| adding that + 3 to the end counts as which type of transformation?

zarkam21:

D

Vocaloid:

notice how the function takes f(x) = x^2 and changes it to x^2 + 3? that's a vertical shift up by 3 units, so B

zarkam21:

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zarkam21:

A

Vocaloid:

good

zarkam21:

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Vocaloid:

I got something a little different start by calculating the slope of 2x - 3y = 5 by converting this to y = mx + b form

zarkam21:

2/3

Vocaloid:

good, then the perp slope must be -3/2 that gives us y = (-3/2)x + b, then we plug in the point (2,-1) to get -1 = (-3/2)(2) + b solve for b

zarkam21:

2

Vocaloid:

good then y = (-3/2)x + 2 re-write this equation in standard form, then you'll get one of the answer choices

zarkam21:

Oh D?

Vocaloid:

awesome

zarkam21:

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zarkam21:

b

Vocaloid:

careful, the length of the entire axis is twice the value of a, so 14 not 7

zarkam21:

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zarkam21:

D

Vocaloid:

good

zarkam21:

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zarkam21:

b

Vocaloid:

good

zarkam21:

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zarkam21:

C

Vocaloid:

good

zarkam21:

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Vocaloid:

I believe you're supposed to use A = Pe^rt where P is the initial deposit, t is time, r is interest, A is final amount

zarkam21:

1000(.06)(5)

Vocaloid:

don't forget the e 1000*e^(0.06*5) = ?

zarkam21:

B

Vocaloid:

good

zarkam21:

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zarkam21:

A

Vocaloid:

A is missing the entire 194 term would be best to try factoring

zarkam21:

D?

zarkam21:

b

zarkam21:

Ugh i dont want to guess

Vocaloid:

as a hint let's try re-writing the function as y = -4x^2 + 56x - 196 + 2 then we subtract 2 from both sides to get y - 2 = -4x^2 + 56x - 196 now try completing the square on the right side, leave the left hand side alone

zarkam21:

OH C?

Vocaloid:

good, c

zarkam21:

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zarkam21:

C

Vocaloid:

yup gd

zarkam21:

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zarkam21:

C

Vocaloid:

c is a circle, this fails the vertical line test so its not a function any other guesses?

zarkam21:

D

Vocaloid:

D is a parabola that looks like this|dw:1519191824951:dw| this fails the vertical line test so it's a no go

zarkam21:

B? :/

Vocaloid:

|dw:1519191931607:dw| another vertical line fail, making A the only possibility

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