Write an equation of the parabola in vertex form that passes through (13, 8) and has vertex (3, 2)

Answer 1

Hi,

f(x) = k( x- x₀)² + y₀

is an equation vertex form of parabola that ( x₀,y₀) is vertex

Now, vertex (3, 2) it means you have (x₀,y₀)

f(x) = k( x- 3)² + 2

now, through (13, 8) it means you can plug in the function

8 = k( 13- 3)² + 2 ====> 8 = k(100) + 2 ====> k = 6/100

I hope it is useful,

Minoo