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Furkat [3]
3 years ago
13

Sketch the quadratic function ƒ(x) with a vertex at (–1, 2) and the points (0, 0) and (–2, 0). Which statement describes the par

abola graph?
A) decreasing when x < 0
B) decreasing when x < –1
Eliminate
C) decreasing when x > –1
D) decreasing when x > –2
Mathematics
2 answers:
Temka [501]3 years ago
6 0

Answer:

The answer is B

Step-by-step explanation:

KATRIN_1 [288]3 years ago
4 0

Answer:

I believe it is C) decreasing when x > -1

Step-by-step explanation:

If you plot all 3 points on a graph, you will notice that the parabola is facing downwards. This means that on the left side of the vertex, it is increasing (the y-value increases). On the right side of the vertex, it decreases (y-value decreases). Note that "decreasing" refers to the y values.

So, since the vertex's x-value is -1 (we know this from the point (-1, 2)), any x-value greater than -1 will be to the right of the vertex. For example, 0, 1, 2, 3, etc. are all greater x-values than -1, so they are all to the right of -1. Since they are on the right, that means the corresponding-values will be decreasing.

Therefore, when x > -1, the parabola is decreasing.

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lubasha [3.4K]
<h2>Answer:</h2>

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

<h2>Step-by-step explanation:</h2>

The origin of the coordinate system is the center of the circle. So we have an angle that measures 5\pi/12=75^{\circ}. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

x=20cos(5\pi/12)=5\sqrt{6}-5\sqrt{2} \\ \\ Arranging:\\ \\x=5(-\sqrt{2}+\sqrt{6}) \\ \\y=20sin(5\pi/12)=5\sqrt(6)+5\sqrt{2} \\ \\ Arranging:\\ \\y=5(\sqrt{2}+\sqrt{6})

Finally, the exact value of the position of the rider after the carousel rotates 5\pi/12 radians is:

\boxed{(5(-\sqrt{2}+\sqrt{6}),5(\sqrt{2}+\sqrt{6}))}

3 0
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What is the average of the following numbers: 18, 64, 23, 78, 82, 91
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To Find The Answer, We Need To Add All Of Them Together, Then Divide By the Number Of Values. So:
64+23+78+82+91
-----------------------
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<span>64+23+78+82+91 = 338.
</span>
338
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338/5 = 67.6

So, The Average Is 67.6
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The x-intercept is (-4/3,0).

Hope that helps!
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Answer:

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Step-by-step explanation:

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