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:
1. Tectonic activity is responsible for some of Earth's most dramatic geologic events: earthquakes, volcanoes and deep ocean trenches can all be formed by tectonic activity in the lithosphere.
2.The lithosphere can affect the atmosphere when tectonic plates move and cause an eruption, where magma below spews up as lava above. This can also release copious amounts of volcanic ash or soot, which pollutes the atmosphere, blocks radiation and creates a cooling effect.
3. I don't know what's show on the text sorry that parts up to you good luck :)
Step-by-step explanation:
Answer:
The difference between a number and five is negative two.
Step-by-step explanation:
n-5=difference between a number and five
=-2 means is negative two
Answer:
4/6 = 6/9
Step-by-step explanation:
Because 4/6 = 2/3 and 6/9 = 2/3
Answer:
a = 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
