which equation has a graph that is a parabola with a vertex at (5, 3)?\n$y=(x - 5)^2+3$\n$y=(x +…
which equation has a graph that is a parabola with a vertex at (5, 3)?\n$y=(x - 5)^2+3$\n$y=(x + 5)^2+3$\n$y=(x - 3)^2+5$\n$y=(x + 3)^2+5$
Answer
Explanation:
Step1: Recall vertex - form of parabola
The vertex - form of a parabola is $y=a(x - h)^2 + k$, where $(h,k)$ is the vertex of the parabola.
Step2: Identify values of h and k
Given the vertex $(5,3)$, so $h = 5$ and $k=3$.
Step3: Substitute h and k into vertex - form
Substituting $h = 5$ and $k = 3$ into $y=a(x - h)^2 + k$, we get $y=(x - 5)^2+3$ (assuming $a = 1$).
Answer:
A. $y=(x - 5)^2+3$