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How is the graph of y =(x-1)2 - 3 transformed to produce the graph of y = 5(X+4)??
The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.
The graph is stretched vertically by a factor of 3, translated left 5 units, and translated up 3 units
The graph is translated left 5 units, compressed horizontally by a factor of 2, and translated down 3 units
The graph is stretched horizontally by a factor of 2, translated left 5 units, and translated down 3 units

Respuesta :

Answer:

The graph is translated left 5 units, compressed vertically by a factor of 5, and translated up 3 units.

Step-by-step explanation:

The initial function is

[tex]y=(x-1)^{2} -3[/tex]

The transformed function is

[tex]y=5(x+4)^{2}[/tex]

Notice that the first function represents a parabola with vertex at (1, -3), and the secong function represents a parabola with vertex at (-4, 0). That means the function was shifted three units up and 5 units to the left. Additionally, the function was compressed by a scale factor of 5, because that's the coffecient of the quadratic term.

Therefore, the right answer is the first choice.

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