(50 POINTS) What transformation takes the graph of g(x)=x^2−5 to the graph of h(x)=x^2−1?

translation 4 units up


translation 1 unit up


translation 1 unit down


translation 4 units down

Answer:

translation 4 unites up

Step-by-step explanation:

the thing that is changing is the y intercept and the y intercept went up by 4 therefore it is a translation 4 units up

hope this helps (:

The transformation from the function g(x)=x²-5 to h(x)=x²-1 is translation 4 units up. Therefore, option A is the correct answer.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

The given functions are g(x)=x²-5 and h(x)=x²-1.

From the function g(x)=x²-5 to h(x)=x²-1, the translation by 4 units up.

Now, g(x)=x²-5+4

So, h(x)=x²-1

Therefore, option A is the correct answer.

Learn more about the transformation here:

https://brainly.com/question/11709244.

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