What are the coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3?

Mathematics

2 answers:

MakcuM [25]3 years ago

7 0

Answer:

(-1, -4)

Step-by-step explanation:

The standard form of a quadratic equation is:

y = ax² + bx + c

where a, b and c are numbers.

In the equation

y = x² + 2x - 3

a = 1

b = 2

c = -3

We can calculate the x-coordinate of the vertex (xv) using the following expression.

xv = -b / 2a

xv = -2 / 2.1

xv = -1

We can replace this value in the equation to find the y-coordinate of the vertex (yv).

yv = (-1)² + 2.(-1) - 3

yv = -4

The coordinates of the vertex are (-1, -4).

Ilia_Sergeevich [38]3 years ago

4 0

$\bf \textit{vertex of a parabola}\\ \quad \\

\begin{array}{llccll}
y=&1x^2&+2x&-3\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

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inysia [295]

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Step-by-step explanation:

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