Question

The graph of y = x2 has been translated 7 units to the left. The equation of the resulting parabola is _____. y = (x - 7)2 y = (x + 7)2 y = x2 - 7 y = x2 + 7

Answer 1

Movement to the left or to the right indicates a change in x-values (x is the horizontal axis). However, if the graph has been translated 7 units to the left, you would indicate it by adding to x, like so:

y = (x + 7)²

It seems counter-intuitive, but when moving to the left, you add to x, and when moving to the right you subtract from x.

Answer:
y = (x + 7)²