After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.
<h3>What is parabola?</h3>
Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
General equation of the quadratic equation,
Y = ax² + bx +c
Given points,
(-2, 0),
(-1, -10),
(4, 0).
Putting the points in the general equation,
Putting (-2, 0), we get
0 = 4a - 2b + c
Putting (-1, -10), we get
-10 = a - b +c
Putting (4, 0), we get
0 = 16a + 4b +c
Solving all equations we get,
a = 2 , b = -4 , c = -16
After putting the values,
Y = 2x²- 4x- 16
2(x² - 2x - 8)
2(x²- 2x + 1 - 1 - 16)
=2(x - 1)²-34
Hence we get the required equation in the parabolic form.
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Answer:
false,true,false,true
Step-by-step explanation:
not 100% sure
hope it helped
:)
Answer is C ig I’m sowwy if I’m wrong
The common rule is (x - 1, y + 3) can be used to describe the translation.
Step-by-step explanation:
Step 1:
The point J (-3, -4) becomes
(-4, -1).
In order to write the rule for translation from J to
, we subtract the x coordinate of J from
and subtract the y coordinate of J from
.
The x coordinate 
The y coordinate 
Step 2:
So from the calculations, we get that the x coordinate is subtracted by 1 i.e.
and the y coordinate is increased by 3 i.e.
.
So the common rule is (x - 1, y + 3).
204 is 10.2% of 2000
Working Out
204/2000 x 100 = 10.2%