Respuesta :
Using the vertex of a quadratic function, it is found that Phoenix received the highest amount of precipitation on the month of May.
What is the vertex of a quadratic equation?
A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
- If a < 0, the vertex is a maximum point.
- If a > 0, the vertex is a minimum point.
In this problem, the precipitation each month x in Phoenix is given by:
[tex]y = -0.04088x^2 + 0.4485x + 1.862[/tex]
Hence the coefficients are a = -0.04088, b = 0.4485, c = 1.862, and the month for which the precipitation will be highest is given by:
[tex]x_v = -\frac{0.4485}{2(-0.04088)} = 5.48[/tex]
Hence during the month of May.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
