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lisabon 2012 [21]
2 years ago
14

Find the vertex I’d this parabola y=-2x^2-4x+4

Mathematics
1 answer:
mamaluj [8]2 years ago
5 0

Answer:

  (-1, 6)

Step-by-step explanation:

A graphing calculator shows the vertex to be (x, y) = (-1, 6).

__

You can also find it by putting the equation into vertex form.

  y = -2(x^2 +2x) +4

  y = -2(x^2 +2x +1) +4 +2(1) . . . . . add 1 inside parens; the opposite outside

  y = -2(x +1)^2 +6

Compare to ...

  y = a(x -h)^2 +k

and you see a=-2, h=-1, k=6

The vertex is (h, k) = (-1, 6).

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suter [353]

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6 0
2 years ago
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
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