The vertex of a parabola is at (-2,-3) when the x-value is -1, the y-value is -5 . What is the coefficient of the squared expression in the parabola's equation?

The coefficient of the square monomial within the equation of the parabola in standard form is -2.

Step-by-step explanation:

The vertex form of the equation of the parabola is represented below:

(1)

Where:

- Independent variable.

- Dependent variable.

, - Coordinates of the vertex.

- Vertex parameter.

Please notice that vertex parameter is also the coefficient of the square monomial within the equation of the parabola in standard form. If we know that and , then the vertex parameter is:

The coefficient of the square monomial within the equation of the parabola in standard form is -2.

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23