examday

/TMUA

Define the left branch of a quadratic function as the portion to the left of its vertex, and similarly, define the right branch. Let $f(x)$ and $g(x)$ be two quadratic functions.

Statement $P$: If $g(x)$ is a translation of $f(x)$, then the left branch of $g(x)$ and the left branch of $f(x)$ intersect at one point, and the right branch of $g(x)$ and the right branch of $f(x)$ intersect at one point.

Which of the following is correct?