Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

What is the value of x in the equation 1.5x+4-3=4.5(x-2)?