Question

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

Answer 1

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

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.

Answer 2

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

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.