Question

The parabola has a minimum value of (1. 5,-1. 5). What is its equation.

Answer 1

The minimum point of a parabola is its vertex.

The equation of the parabola is $\mathbf{y =a(x -1.5)^2 -1.5}$

The minimum point of the parabola is given as:

$\mathbf{Minimum = (1.5,-1.5)}$

This represents the vertex (h,k).

So, we have:

$\mathbf{(h,k) = (1.5,-1.5)}$

A parabola is represented with the following equation

$\mathbf{y =a(x -h)^2 + k}$

Substitute values for h and k

$\mathbf{y =a(x -1.5)^2 -1.5}$

Hence, the equation of the parabola is $\mathbf{y =a(x -1.5)^2 -1.5}$, where a does not equal to 0

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