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Answer:
"To graph y = x² - 4, you would shift the graph of y = x² _down_ a distance of __4__ units.
Step-by-step explanation:
Start with the parent function
y = x²
When you substitute y - k for y, you are shifting the graph vertically k units.
The translated function is
y = x² - 4
Add 4 to both sides.
y + 4 = x²
y was substituted by y + 4.
We must write the substitution as y - k, so rewrite y + 4 as
y - (-4). Now compare y - (-4) with y - k.
k = -4
The vertical shift is -4, so the graph was translated 4 units down.
"To graph y = x² - 4, you would shift the graph of y = x² _down_ a distance of __4__ units.