question\nfind the coordinates of the vertex of the following parabola using graphing technology. write your…

question\nfind the coordinates of the vertex of the following parabola using graphing technology. write your answer as an ((x,y)) point.\n\n(y = -3x^2 + 24x - 39)

question\nfind the coordinates of the vertex of the following parabola using graphing technology. write your answer as an ((x,y)) point.\n\n(y = -3x^2 + 24x - 39)

Answer

Answer:

$(4, 9)$

Explanation:

Step1: Recall vertex formula for parabola

For $y=ax^2+bx+c$, vertex $x=-\frac{b}{2a}$

Step2: Identify coefficients

$a=-3$, $b=24$, $c=-39$

Step3: Calculate x-coordinate

$x=-\frac{24}{2(-3)} = \frac{-24}{-6}=4$

Step4: Calculate y-coordinate

Substitute $x=4$ into $y=-3x^2+24x-39$: $y=-3(4)^2+24(4)-39 = -3(16)+96-39 = -48+96-39=9$