When Triangle ABC is reflected on the x-axis the new coordinates are A (-3,-1) B(-1,-3) C(-2,-1)

However the Triangle is then translated 4 units up, so the New and Final coordinates for Triangle ABC is A(-3,3) B(-1,0) and C(-2,4)

Hope this helps

8 0

3 years ago

If f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B4%7D" id="TexFormula1" title="\frac{x+3}{4}" alt="\frac{x+3}{4}

natulia [17]

Answer:

option (b) is correct

inverse of function $f(x)=\frac{x+3}{4}$ is 4x+3

Step-by-step explanation:

Given function $f(x)=\frac{x+3}{4}$

We have to find the inverse of given function.

Let f(x) = y then taking inverse both sides, we get

$f^{-1}(y)=f^{-1}(f(x))\\\\\ f^{-1}(y)=x$

Substitute , x and f(x) in given equation, we get,

$f(x)=\frac{x+3}{4} \Rightarrow \frac{(f^{-1}(y))+3}{4}$

Now solve for $(f^{-1}(y))$ , we get,

$(f^{-1}(y))+3=4y$

$(f^{-1}(y))=4y-3$

Thus, inverse of function $f(x)=\frac{x+3}{4}$ is 4x+3

Thus, option (b) is correct.

8 0

3 years ago

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