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lilavasa [31]
3 years ago
8

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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Answer:

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Step-by-step explanation:

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Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If
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Step-by-step explanation:

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Secondly, we need to get the area that counts as a success

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we have this as ;

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Activity
hodyreva [135]

Answer:

The answers to each part are:

Part A.

  • <u>The quantity of apples is one-third of the quantity of grapes</u>.

Part B.

  • <u>The quantity of apples is a quarter of the quantity of strawberries</u>.

Part C.

  • <u>The number of cherries is two-elevenths of the total fruit</u>.

Step-by-step explanation:

To identify the answer in each case, you must remember that all the parts are equal, then:

Part A.

The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:

  • 1 / 3 = 1/3 (one-third)

So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.

Part B.

The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:

  • 1 / 4 = 1/4 (a quarter)

In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.

Part C.

First, you must add all the part of fruit:

  • <em>1 part apple</em>
  • <em>1 part orange</em>
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  • <em>3 parts grape</em>

The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:

  • 2 / 11 = 2/11 (two-elevenths)

Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.

3 0
3 years ago
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