Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
247,039 rounded to the nearest thousand becomes
247,000
f ( x ) = - ( x + 1)^2 + 4
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Vertex = ( - 1 , 4 )
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Domain = R
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Range = ( - infinite , 4 ]
Answer:m<2= 160 degrees m<3=20 degrees
Step-by-step explanation:the angles have to equal 360 in all and the side lengths are all the same
let's first off apply a log rule of cancellation, keeping in mind that, first off is ln(), not in(), and that ln() is just a shortcut to logₑ.
![\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\stackrel{\textit{we'll use this one}}{\downarrow }}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ e^{ln(x)}\implies e^{log_e(x)}\implies x \\\\\\ \cfrac{d}{dx}\left[ e^{ln(x)} \right]\implies \cfrac{d}{dx}[x]\implies 1](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7BLogarithm%20Cancellation%20Rules%7D%0A%5C%5C%5C%5C%0Alog_a%20a%5Ex%20%3D%20x%5Cqquad%20%5Cqquad%20%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20this%20one%7D%7D%7B%5Cdownarrow%20%7D%7D%7Ba%5E%7Blog_a%20x%7D%3Dx%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0Ae%5E%7Bln%28x%29%7D%5Cimplies%20e%5E%7Blog_e%28x%29%7D%5Cimplies%20x%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20e%5E%7Bln%28x%29%7D%20%5Cright%5D%5Cimplies%20%5Ccfrac%7Bd%7D%7Bdx%7D%5Bx%5D%5Cimplies%201)
