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irga5000 [103]
3 years ago
14

Find the vertex for this function. f(x)=-2x^2+8x-11​

Mathematics
1 answer:
loris [4]3 years ago
3 0

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)

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Select Parameter or Statistic to classify each statement.
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Answer:

Step-by-step explanation:

A parameter describes a population, and a statistic describes a sample.

The first one is a statistic.  A sample was surveyed.

The second one is a parameter.  It describes the entire soccer team.

The third one is a statistic.  A sample was surveyed.

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6 0
3 years ago
At the Science Museum, there is an exhibition with 150 displays about energy.
tatuchka [14]
<span>1/5
       
This is a matter of elimination. So let's figure out how many of each display there is. 30% of 150 = 0.30 * 150 = 45 displays about electricity. 2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy 1/10 * 150 = 150/10 = 15 displays about gas. The rest of the displays are about nuclear power. So 150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150 But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30 (30/30)/(150/30) = 1/5 So 1/5 of the displays are about nuclear power.</span>
8 0
3 years ago
0+5=?<br><br> I need help I’m in a test
3241004551 [841]
5 have a good day!!!!!
3 0
3 years ago
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A coat that usually costs $123 is marked off 1/3 (one-third) off. What is the sale price of the coat? Round to the nearest dolla
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7 0
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Type the correct answer in each box. Use numerals instead of words.
shepuryov [24]

The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².

<h3>How to illustrate the graph?</h3>

The vertex of this parabola is (-1, 8).  It opens downward, so the x² term has a negative coefficient.  The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).

Through the vertex form of the equation of a parabola we get:

y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².

Find coefficient a by substituting the coordinates (-3, 0) in this equation:

0 - 8 = a(-3 + 1)^2, or

-8 = a(-2)² or a = -2

The desired equation is y - 8 = -2(x + 1)^2

Learn more about graph on:

brainly.com/question/19040584

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7 0
2 years ago
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