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Name the point that corresponds to (4, 10) after applying the specified transformations to the graph of y=5/2 x(hint: if you are not sure, draw a sketch) a reflection across the x-axis followed by a vertical stretch by a factor of 2 a. (4, 23) c. (-4, 7) b. (4, -20) d. (12, 15)

User ThePravinDeshmukh
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1 Answer

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9 votes

Solution

We are first given


\begin{gathered} y=(5)/(2)x \\ \text{and the point} \\ (4,10) \end{gathered}

A reflection across the x-axis


y=-(5)/(2)x

A vertical stretch by a factor of 2


y=2(-(5)/(2)x)

Now, put x = 4


y=2(-(5)/(2)x)=2(-(5)/(2)(4))=-20

We have the point


(4,-20)

The graph below will help

Therefore, the answer is


(4,-20)

Name the point that corresponds to (4, 10) after applying the specified transformations-example-1
User Krishna Pal
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3.1k points