Write the equation of the quadratic function vertex
form that has vertex (2, −3) and passes through the
point (1, 4).

Given that the vertex of the quadratic function is (2,-3) and passes through the point (1,4)

We need to determine the equation of the quadratic function.

Equation of the quadratic function:

The vertex form of the quadratic function is given by

where the vertex is (h,k) and a is a constant.

Substituting the vertex (2,-3) in the vertex form of the quadratic function, we get;

-------(1)

Since, it passes through the point (1,4), let us substitute the points (1,4) in the above formula, we get;

Thus, the value of the constant a is 7.

Substituting in equation (1), we get;

Thus, the equation of the quadratic function is

a

step-by-step explanation:

people went from manufacturing one object at a time by hand to manufacturing many objects in factories