Question

A new parabola, g(x), is translated from f(x) using the translation T(-3, 7).
5. What is the vertex point of g(x)?
Explain how you know.

Answer 1

Answer:

We can predict the vertex point of $g(x)$ by vectorial sum, which is equal to $V_{G}(x,y) = (h - 3, k + 7)$.

Step-by-step explanation:

The vertex of $g(x)$ is equal to the vectorial sum of the vertex of $f(x)$ and the translation vector:

$V_{G}(x,y) = V_{F}(x,y) + T(x,y)$ (1)

Where $T(x,y)$ is the translation vector.

If we know that $V_{F} (x,y) = (h,k)$ and $T(x,y) = (-3, 7)$, then the formula for the vertex of $g(x)$ is:

$V_{G}(x,y) = (h,k) +(-3, 7)$

$V_{G}(x,y) = (h - 3, k + 7)$