What is the effect on the graph of the function f(x) = x when f(x) is replaced with f(− 1/3 x)?

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

<h3>ANSWER:-</h3>

horizontal reflection over y-axis and horizontal compression

<h3>EXPLANATION:-</h3>

This is because plugging in 10 for x becomes

the - negative indicates the x has changed signs (flipped)

the 3 indicates that there will be a shrink

these shifts are learned by observing graph changes or memorization

#brqinly everyday

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Y varies directly as x when x= 3 and y =12 find y when x =12

andrew-mc [135]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we know that }
\begin{cases}
x=3\\
y=12
\end{cases}\implies 12=k3\implies \cfrac{12}{3}=k\implies 4=k
\\\\\\
thus\qquad \boxed{y=4x}
\\\\\\
\textit{when x = 12, what is \underline{y}?}\qquad \qquad y=4(12)$