hisonanaguleswaran hisonanaguleswaran
  • 25-04-2021
  • Mathematics
contestada

Following the order of operations, describe how the graph of y = x² has been transformed to create a new graph given the equation: y = [tex]-\frac{1}{2}[/tex](x + 4)² - 5

Respuesta :

altavistard
altavistard altavistard
  • 25-04-2021

Answer:

Step-by-step explanation:

First we replace the original 'x' with 'x + 4,' which causes translation of the original parabolic graph 4 units to the left.  Next, reflect this translated graph about the x-axis (which is the effect of multiplying by -1/2 as shown).  Finally, shift the entire graph (the most recent one) down 5 units.

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