Question

To graph y=x^2-4, you would shift the graph of y=x^2 ____ a distance of ____ units?

Answer 1

Answer:

right and 4

Step-by-step explanation:

it goes right 4 units

Answer 2

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.