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Question 14 of 21

If you apply the changes below to the quadratic parent function, f(x) = x²,
which of these is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x)=-3x²-1
OB. g(x) = -3(x + 1)²
C. g(x) = (-3x + 1)²
D. g(x) = -3(x-1)²

User LaneL
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1 Answer

10 votes
D.

Because it moves one unit to the right it would be (x-1)^2

And because the stretch is vertical that means the 3 would be outside of the parentheses 3(x-1)^2

Lastly because it’s being reflected on the x-axis, it becomes a negative -3(x-1)^2

Hope this helps
User Dharshan
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4.2k points