Mathematics: The vertex of this parabola is at (4, -3). when the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola s equation?

The vertex of this parabola is at (4, -3). when the

Ответ:

mkn3347

03.01.2022

$The\ vertex\ form:y=a(x-k)^2+h\\\\where\ (k;\ h)\ \ are\ coordinates\ of\ vertex\\------------------------\\y=a(x-4)^2-3\\\\the\ point\ on\ parabola\ (5;-6)\\Put\ x=5\ and\ y=-6\ to\ equation:\\\\a(5-4)^2-3=-6\\a(1)^2=-6+3\\a=-3\\\\y=-3(x-4)^2-3=-3(x^2-8x+16)-3\\\\=-3x^2+24x-48-3=-3x^2+24x-51$

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Ответ:

Shelleycarousel

02.01.2020

Mathematics

The standard form of the equation of a circle is,

(x - h)² + (y - k)² = r²

where the center is at (h, k) and its radius is r. From the givens above, the equation of the circle is,

x² + y² = (12/2)²

or equal to x² + y² = 36.

Step-by-step explanation:

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The vertex of this parabola is at (4, -3). when the x-value is 5, the
y-value is -6. what is the coefficient of the squared expression in the parabola s equation?

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