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

Respuesta :

Answer:

A) The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

Step-by-step explanation:

Edg 2020

adioabiola

It follows from the task content that the transformation required to produce the graph is; The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.

What set of transformations are required to produce the graph?

It follows from the task content that initial equation is; y = (x-1)² - 3 while the transformation produced; y = (1/2)(x+4)².

It therefore follows that upon translation leftwards by 5 units, the (x-1) term becomes (x+4).

And finally, upon compression vertically by a factor of One-half, and translation upwards 3 units. The transformed form of the graph is obtained.

On this note, the required transformations are as indicated above.

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