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Colt1911 [192]
3 years ago
9

HELLO!! I REALLY NEED SOME HELP WOTH THIS QUESTION, ITS DUE SOON AND IF YOU CAN SHOW WORK THAT WOULD REALLY HELP THX!!

Mathematics
2 answers:
Marysya12 [62]3 years ago
3 0

Answer:

g(x)=(x+4)^2-5

Step-by-step explanation:

g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.

Ivahew [28]3 years ago
3 0

Answer: y = (x + 4)^{2} -5

Step-by-step explanation:

Finding the equation of a translated graph is simple with quadratic equations.

It's easier to use vertex form for this.

Vertex form is shown as the following:

f (x) = a(x - h)^{2}  + k

The coordinates (h, k) are the vertex of the parabola. In this case, the new vertex is (-4, -5).

We can plug those in like this:

f (x) = a(x + 4)^{2}  -5

The "a" at the beginning of the equation is used to show how steep/flat the equation is. The only thing that was done to the graph in this case was translation, so this step is not necessary.

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