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:

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

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.

Answer 2

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.