Respuesta :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given ordered pair

[tex]R(-2,7)[/tex]

STEP 2: Explain trasnformation for x units to the right

To shift an ordered pair to the right means to add, therefore, the translation of 5 units to the right for ordered pairs will be:

[tex]R(-2+5,7)=R^{^{\prime}}(3,7)[/tex]

STEP 3: Explain transformation x units down

To shift an ordered pair down means to subtract from the y-coordinate, therefore, the translation of 2 units down will be:

[tex]R(-2,7)=R^{^{\prime}}(-2,7-2)=R^{^{\prime}}(-2,5)[/tex]

Hence, the new ordered pair will be:

[tex]R^{^{\prime}}(3,5)[/tex]

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