The equation below describes a parabola. If a is positive, which way does the parabola open? x = ay2

1 answer:

4 0

One of the best way to solve these kinds of questions is to draw 3-4 points and than conclude from that how graph will go.

Because this function is f(y) (x depends on y) you randomly take several y values and calculate x for them and those are your pairs of coordinates of several points.

y = 0
x = 0

y = 1
x = a

y = -1
x = a

y = 2
x = 4a

y = -2
x = 4a

So if you draw these points on graph you will see it opens in positive direction of x axis.

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kupik [55]

I think the answer is $48

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3 years ago

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Is this right? and do you use not use the x-intercepts?

vampirchik [111]

Answer:

You are correct.

Step-by-step explanation:

The x-intercept could be written the way you have or also it can be written as a point (-1, 0).

The y-intercept could also be written as a point (0, -2) But they are commonly written the way you have also.

So, the slope is -2. But just to be clear. That slope of -2 has nothing to do with the y-intercept of -2.

If you mark all the points on the line, to get from one point to the next point, you go down 2 and over (positive direction) 1. The down 2 in math is -2 and the over 1 is just 1. The slope is that ratio of -2/1.

Slope tells us if the line is going up or down, steep or flat, even horizontal. It was coincidence only that the y-intercept and slope were the same number.

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3 years ago

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Zinaida [17]

Answer:

Step-by-step explanation:

7+15/5

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3 years ago

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uysha [10]

Answer:

the answer would be 1,-8

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2 years ago

Find the 50th term of the sequence 5, -2, -9, -16, ...

Elodia [21]

Answer:

-338

Step-by-step explanation:

So we have the sequence:

5, -2, -9, -16...

First, note that this is an arithmetic sequence.

This is because each individual term is the previous term <em>added</em> by a common difference.

We can see that this common difference is -7, because each subsequent term is 7 <em>less</em> than the previous one. For example, 5 minus 7 is -2, -2 minus 7 is -9, and so on.

So, to find the 50th term, we can write an explicit formula for our sequence.

The standard form for the explicit formula for an arithmetic sequence is:

$x_n=a+d(n-1)$