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3 years ago

What is the equation in standard form of a parabola that contains the following points

1 answer:

azamat3 years ago

5 0

Equation of a parabola is given by
y = ax^2 + bx + c
From the given points
-16 = a(-2)^2 + b(-2) + c = 4a - 2b + c . . . (1)
4 = a(0)^2 + b(0) + c = c . . . (2)
-28 = a(4)^2 + b(4) + c = 16a + 4b + c . . . (3)

Putting (2) into (1) and (2) gives:
4a - 2b + 4 = -16
4a - 2b = -20 . . . (4)
16a + 4b + 4 = -28
16a + 4b = -32 . . . (5)
(4) x 4 => 16a - 8b = -80 . . . (6)
(5) - (6) => 12b = 48
b = 48/12 = 4

From (4), 4a - 2(4) = -20
4a = -20 + 8 = -12
a = -12/4 = -3

Therefore, the required polynomial is
y = -3x^2 + 4x + 4

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How do I figure of the 7/3 I'm not sure how to add a fraction with a different denomination

Mnenie [13.5K]

Step-by-step explanation:

Hi there!!

Here, the thing is we should add them first yaa.

so, let's add them

 $= - 2 \frac{1}{6} + \frac{7}{3}$ 

by taking lcm we get their lcm is 6 and let's do it according to that,

 $= \frac{ - 12 \times 1}{6} + \frac{7 \times 2}{6}$ 

now, let's simplify them ok..

 $= \frac{ - 12 + 14}{6}$ 

so, we get 2/6 (i.e 1/3)

now, the number line must be greator than 1 and less than 1.

Hope it helps...

4 0

4 years ago

Read 2 more answers

Factor the expression 10y+6

Sphinxa [80]

Answer:

2(5y+3)

Step-by-step explanation:

10y+6

Factor out 2

2*5y + 2*3

2(5y+3)

7 0

3 years ago

Read 2 more answers

Which side of the original parallelogram corresponds to the y-centimeter side of the enlarged parallelogram? explain how you kno

Nikolay [14]

The 15 cm side is equivalent to the y centimeter side.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

So from the given question the given figure can be inferred which is attached below

The "y" side of the parallelogram corresponds to the bigger side of the parallelogram, as seen in the figure, and the "x" side corresponds to the shorter side.

Since "y" relates to the longer side and the longer side is 15 cm, the 15 cm side is equivalent to the y centimeter side.

Learn more about parallelogram here :

brainly.com/question/19648711

#SPJ4

8 0

2 years ago

Write this number in standard form.

Temka [501]

Answer:

(7 x 100) + (4 x 100 ) + (8 x 1,000)

=700+400+8000

=1100+8000

<h3>=9100</h3><h3>9100 is the right answer.</h3>

5 0

3 years ago

If 0 prove: a) a³ what is the answer?

victus00 [196]

I think you meant, if a = 0.

If a = 0, then,

a³ = 0³

a³ = 0 × 0 × 0

a³ = 0

Any number multiplied by 0 is 0.

4 0

3 years ago