0
The vertex of the parabola below is at the point 1 3 and the point 4 4 is on the parabola What is the equation of the parabola?
Wiki User
∙ 14y ago
(y - 3) = a(x - 1)2
y = a(x - 1)2 + 3
4 = a(4 - 1)2 + 3
1 = 9a
a = 1/9
y = 1/9 (x - 1)2 + 3
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What does vertex mean in math class?
A vertex is the highest or lowest point in a parabola.
To find the value of a in a parabola opening up or down, subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
right
To find the value of a in a parabola opening left or right subtract the x value of the parabola at the vertex from the x value of the point on the parabola that is one unit the vertex?
Above
What is the parabola equation?
the equation of a parabola is: y = a(x-h)^2 + k *h and k are the x and y intercepts of the vertex respectively * x and y are the coordinates of a known point the curve passes though * solve for a, then plug that a value back into the equation of the parabola with out the coordinates of the known point so the equation of the curve with the vertex at (0,3) passing through the point (9,0) would be.. 0 = a (9-0)^2 + 3 = 0 = a (81) + 3 = -3/81 = a so the equation for the curve would be y = -(3/81)x^2 + 3
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
The vertex of the parabola below is at the point (-4-2) which equation below could be one for parabola?
-2
The vertex of the parabola below is at the point 4 -1 which equation be this parabola's equation?
5
What are the coordinates of the vertex of the parabola described by the equation below?
The coordinates will be at the point of the turn the parabola which is its vertex.
The vertex of the parabola below is at the point -3 -5 Which of the equations below could be the equation of this parabola?
2
The vertex of the parabola below is at the point -2 1 Which of the equations below could be this parabolas equation?
Go study
What the the vertex of a parabola?
The vertex would be the point where both sides of the parabola meet.
The vertex of the parabola below is at the point 4 1 Which of the equations below could be this parabolas equation?
you didn't put any equations, but the answer probably begins with y= (x-4)^2+1
The is the extreme point of a parabola and is located halfway between the focus and directrix?
The vertex -- the closest point on the parabola to the directrix.
What is the lowest or highest point in a parabola?
A vertex is the highest or lowest point in a parabola.
Parabola is the point at which the parabola is at its lowest or highest point?
A parabola is NOT a point, it is the whole curve.
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the of the vertex?
To find the value of a in a parabola opening up or down subtract the y-value of the parabola at the vertex from the y-value of the point on the parabola that is one unit to the right of the vertex.
What is the extreme point called on a parabola?
The vertex, or maximum, or minimum.
