Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the standard form of the equation?

Given that the vertex of the parabola is (4,-3)

The parabola passes through the point (2,-1)

We need to determine the standard form of the equation of the parabola.

Standard form of the equation of the parabola:

The standard form of the equation is where the vertex is (h,k) and a is the constant.

Substituting the vertex (4,-3) in the above equation, we get;

 ---------------(1)

Substituting the point (2,-1) in the above equation, we have;

Thus, the value of a is

Substituting the value of a in the equation (1), we get;

Thus, the standard form of the equation of the parabola is

idk

step-by-step explanation: i just don't

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05