y=x^(2)-2x-3 Find the vertex of the following parabola.

Calculate x-coordinate: To find the vertex of a parabola given by the equation y = ax^2 + bx + c, we can use the vertex formula x = -b/(2a) for the x-coordinate of the vertex. In our equation, a = 1 and b = -2. Let's calculate the x-coordinate of the vertex. x = -(-2)/(2*1) = 2/2 = 1Find y-coordinate: Now that we have the x-coordinate of the vertex, we can find the y-coordinate by substituting x back into the original equation. y = (1)^2 - 2*(1) - 3 = 1 - 2 - 3 = -4Identify vertex point: We have found both coordinates of the vertex. The vertex of the parabola is at the point (1, -4).

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y=x^(2)-2x-3
Find the vertex of the following parabola.

$y=x^{2}-2 x-3$ $\newline$ Find the vertex of the following parabola.

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y=x^{2}-2 x-3

\newline

Find the vertex of the following parabola.

Calculate x-coordinate: To find the vertex of a parabola given by the equation $y = ax^2 + bx + c$ , we can use the vertex formula $x = -\frac{b}{2a}$ for the x-coordinate of the vertex. $\newline$ In our equation, $a = 1$ and $b = -2$ . $\newline$ Let's calculate the x-coordinate of the vertex. $\newline$ $x = -(-2)/(2\cdot1) = \frac{2}{2} = 1$
Find y-coordinate: Now that we have the x-coordinate of the vertex, we can find the y-coordinate by substituting $x$ back into the original equation. $y = (1)^2 - 2*(1) - 3 = 1 - 2 - 3 = -4$
Identify vertex point: We have found both coordinates of the vertex. The vertex of the parabola is at the point $(1, -4)$ .