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Ksju [112]
2 years ago
12

I am sketching parabolas and my book is telling me that I need only two points. But I don't know how I am meant to sketch the pa

rabola accurately with only two points. Are parabolas just supposed to be drawn roughly or do we have to find all the points and then sketch it?
Mathematics
1 answer:
Sever21 [200]2 years ago
7 0

Answer:

In order to sketch a parabola, one will typically use the y-intercept, the x-intercepts, and the vertex.

Step-by-step explanation:

In order to sketch a parabola, one will typically use the given equation in standard form, y = ax^2 + bx + c, and:

  • The y-intercept – the point where the parabola crosses the vertical axis – by substituting 0 for all <em>x</em> values in the given equation and solving for <em>y</em>.
  • The x-intercepts – the points where the parabola crosses the horizontal axis – by setting the given equation equal to 0 (i.e., <em>y</em> = 0) and finding the factors (or roots).
  • The vertex – the point of symmetry where the parabola changes direction and curves up or down – by using x=\frac{-b}{2a} to find the x-coordinate then plugging that value into the given equation to find the y-coordinate.
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Shkiper50 [21]

Answer:

infinite

Step-by-step explanation:

  • x=1
  • y=3

Let the linear equation in two variables be ax+by+c=0

Put values

\\ \sf\longmapsto 1a+3b+c=0

\\ \sf\longmapsto a+3b+c

Hence for any values it has infinite number of solutions .

including x=1 and y=3

6 0
2 years ago
Read 2 more answers
In the number 11.278, the 7 is located in the _____ place.
professor190 [17]
B.) thousandths because the first one is tenths and the second is hundredths. Also because it is after the decimal
6 0
3 years ago
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IL COSL al we creeree viall
kakasveta [241]

Answer:

<em>In the next year, Anthony worked 2,084 hours</em>

Step-by-step explanation:

Anthony worked 1,697 hours in 2010.

We also know Anthony worked 22.8% more hours than in 2010.

The problem requires to calculate how much did Anthony work in the next year.

It can be calculated as follows:

Take 22.8% of 1,697:

22.8 * 1,697 / 100 = 386.916\approx 387\ hours

Now calculate by adding it to the original number of hours:

1,697 + 387 = 2,084 hours

In the next year, Anthony worked 2,084 hours

8 0
3 years ago
Which correlation coefficient represents a moderate negative correlation? r = –0.04 r = –0.24 r = –0.64 r = –0.94
fomenos

The correlation coefficient is a number that indicates the direction

and closeness of points of a line of best of fit.

So it tells us two things.

It tells us the direction of the line of best fit

and it tells us the closeness of the points.

Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.

It will be a negative correlation because the slope is negative.

5 0
3 years ago
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Can someone plz help me
Colt1911 [192]

Answer:

x is less than or equal to negative 14.

Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

-x/3=14/3

multiply both sides by 3

-x=14

x=-14

so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

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2 years ago
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