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natta225 [31]
4 years ago
6

The graph of the quadratic parent function is reflected across the x-axis, then shifted 5 units down and 4 units right. Write th

e equation of the new function in vertex form.
Mathematics
1 answer:
vredina [299]4 years ago
5 0

Answer:

  y = -(x -4)² -5

Step-by-step explanation:

-f(x) is a reflection of f(x) across the x-axis.

f(x) -5 is a translation down by 5 units.

f(x -4) is a translation right by 4 units.

Applying these transformations to y = x² gives, successively, ...

  y = -x²

  y = -x² -5

  y = -(x -4)² -5 . . . . . . the new equation in vertex form

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