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Answer:
y = x² -6
Step-by-step explanation:
It helps to remember what the coordinates of a point on a graph mean.
(x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis
If we subtract 6 from the y-value, the point will move down on the graph by 6 units.
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The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...
(x, y) = (x, x²)
When we subtract 6 from the y-value, the points become ...
(x, x² -6)
That is, the new (shifted) value of y is ...
y = x² -6
