Which answer describes the transformation of f (x) = x^2 - 1 to g (x) = (x+2) ^2-1?

a horizontal compression by a factor 2

a vertical stretch by a factor of 2

a horizontal translation 2 units to the left

a vertical translation 2 units down

Question

Tyree

Mathematics

2 June, 06:11

Which answer describes the transformation of f (x) = x^2 - 1 to g (x) = (x+2) ^2-1?

a horizontal compression by a factor 2

a vertical stretch by a factor of 2

a horizontal translation 2 units to the left

a vertical translation 2 units down

+2

Answers (1)

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Vazquez · Answer 1

Answer: A horizontal translation 2 units to the left

In this case, we are changing the variable x before it is being squared. This will have the effect of changing the input of the function. Imagine input 2 into the equation. Your first step would be to add 2. Therefore, you would need to start with a negative 2 to get us back to 0, or the beginning.

Since - 2 is to the left of 0, the graph is moving 2 units to the left.

Which answer describes the transformation of f (x) = x^2 - 1 to g (x) = (x+2) ^2-1?a horizontal compression by a factor 2a vertical stretch by a factor of 2a horizontal translation 2 units to the lefta vertical translation 2 units down

Which answer describes the transformation of f (x) = x^2 - 1 to g (x) = (x+2) ^2-1?

a horizontal compression by a factor 2

a vertical stretch by a factor of 2

a horizontal translation 2 units to the left

a vertical translation 2 units down