What is the product? (x-3)(2x²-5x+1)C) 2x³-11x²+16x-3
1 answer:
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Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
Answer:
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
Step-by-step explanation:
Consider, the given Quadratic equation,
This can be written as ,
We have to solve using quadratic formula,
For a given quadratic equation we can find roots using,
...........(1)
Where, is the discriminant.
Here, a = 1 , b = -6 , c = 4
Substitute in (1) , we get,
and
We know (approx)
Substitute, we get,
(approx) and
(approx)
(approx) and
(approx)
Thus, the two root of the given quadratic equation is 5.24 and 0.76 .
Answer:
y=-4x+3
Step-by-step explanation:
The slopes of 2 parallel lines will always be the same, so we plug in the ordered pair to find the y intercept
<u>Hope this helps :-)</u>
