Question

The parabola (y-3)² = 4(x-2) is translated by [1, 2], producing a parabola with a peak point ...?

Sorry, I mean [1, 2] is a matrix with ordo (2x1)

Answer 1

The peak point, the vertex, is the point where the squared part vanishes,`y=3, x=2` that is, `(2,3)` and translating that by `(1,2)` gives `(3,5)`.

Explanation:

This is a sideways parabola because `y` is squared, not `x`.

graph{(y-3)^2 = 4(x-2) [-1.45, 18.55, -1.96, 8.04]}