The equation y= x^2-8 is translated 7 units to the left. Which equation describes the graph after it has undergone this translation?
a) y=x^2-1
b)y=x^2-15
c) y=(x+7)^2-8
d) y=(x-7)^2-8
e) y=-7x^2-8
The translated curve would be
y = (x-7)^2 -8 = x^2 -14x +41
x gets replaced by x-7 to move the curve to the left.