1. Find the vertex of the following quadratic equations:
a) f(x) = (x – 4)2 + 7

It is not possible to find the vertex of the stated equation as it is in the form of f(x) = mx + b, a linear equation.

Step-by-step explanation:

Being in the form f(x) = mx + b, it is not possible to find a vertex due to the fact that there is none. This is because when an equation is written in the linear form it is representing a line not a parabola.

Given a parabola it is possible to find a vertex because in that case there is one.

step-by-step explanation:

two pairs of adjacent sides are of equal length. this implies that one diagonal divides the kite into congruent triangles, and so the angles between the two pairs of equal sides are equal in measure. it also implies that the diagonals are perpendicular.