Answer:
y = (x-4)²+5
y = -
(x-4)²+5
Explanation:
Normally, you are given a function and there are certain transformations you can do to move said function around.
I would suggest graphing these out on a calculator or desmos graphing to see what I'm talking about
Given y=x² normally results in a parabola with a vertex at (0,0)
You can shift this function up by adding 5 to it.
y = x² + 5 would make the vertex (0,5)
Then, you can move the function left by adding a number to the function or to the right by subtracting a number, as shown below:
y = (x-4)² + 5 means that the vertex of the graph is now UP 5 and RIGHT 4
With this info, you can add any constant in front of the parentheses and it will not affect the location of the vertex, for example:
30000(x-4)² + 5 does not move the vertex and neither will
.01(x-4)²+5
I hope this helps explain transformations a bit. I would again recommend graphing these out for yourself to see what I'm talking about