Question

Which statement best describes the relationship between the functions f(x)=x2
and f(x)=x2−2
?(1 point)

f(x)=x2−2
will have each point 2 units to the left of f(x)=x2
.

f(x)=x2−2
will have each point 2 units to the right of f(x)=x2
.

f(x)=x2−2
will have each point 2 units higher than f(x)=x2
.

f(x)=x2−2
will have each point 2 units lower than f(x)=x2
.

Answer 1

f(x) = x^2 − 2 will have each point 2 units lower than f(x) = x^2.

Reason: subtracting 2 from the function produces a vertical shift downward by 2.