Respuesta :
The quadratic [tex]y=3x^2-18x+15[/tex] has a minimum value and The minimum value is at (3, 2) that is -12.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic function:
[tex]y=3x^2-18x+15[/tex]
In this case, a = 3, b = -18, and c = 15.
Thus, the x-coordinate of the vertex is:
[tex]x =-\dfrac{-18}{2(3)} \\\\x =-\dfrac{-18}{6} \\\\x = 3[/tex]
The minimum is the vertex of the quadratic.
The vertex is given by:
[tex](\dfrac{-b}{2a} ,f(\dfrac{-b}{2a}))[/tex]
And the minimum value is:
[tex]y=3(3)^2-18(3)+15\\\\y = -12[/tex]
Learn more about quadratic equations here:
https://brainly.com/question/3358603
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