2 Find the equation of a parabola with a vertex at (2, 4) and a known point at (-5, 2).
f (x) =

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - p)² + q

vertex is (2, 4)  so  p = 2,  q = 4

so:

   f(x) = a(x - 2)² + 4

the parabola goes through the point (-5, 2) so  x=-5,  f(x)=2

  2 = a(-5-2)² + 4

  - 2 = a(49)

    a = -²/₄₉

Therefore the equation of the parabola in vertex form:

f(x) = -²/₄₉(x - 2)² + 4

but which class are u may know that first

answer: what are the answer choices?

step-by-step explanation: