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Given the graph of y=x^2, what are the zeros of the function after the transformation down 4 units and left 3 units?
A. x=-2, x=2
B. x=3
C. x=-5, x=-1
D. x=-4, x=3

Respuesta :

When we shift the function down 4 units, the equation becomes

[tex]y=x^2-4[/tex]

Which means that the zeroes are

[tex]x^2-4=0\iff x^2=4 \iff x=\pm 2[/tex]

When we shift the function 3 units left, the zeroes are shifted as well:

x=2 becomes x=2-3=-1

and

x=-2 becomes x=-2-3=-5

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