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.
To know more about parabola, visit :
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To do this subtract 2 from each side of the equation to get y = -5, so the value of y in this is -5. Hope this helps!
Answer: <u>24 years</u>
Step-by-step explanation:
% • total = Answer
4.25% • $40,000 = Answer
.0425 • $40,000 = Answer
Answer = $1,700 per year
40,000 ÷ 1,700 = 23.5
<u>23.5 rounded to the nearest year is 24</u>
3345 because it’s squared
To find the output when you know the input, just plug the input into the function.
x+21=4+21=25
The output is 25.
Hope this helps!
