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What does the point h and k represent in the standard form of equation for a parabola?
It depends on where points h and k are, in which parabola. Since you have chosen not to share that information, there cannot be any sensible answer to this question.
What is the focus of a parabola?
The focus of a parabola is a fixed point that lies on the axis of the parabola "p" units from the vertex. It can be found by the parabola equations in standard form: (x-h)^2=4p(y-k) or (y-k)^2=4p(x-h) depending on the shape of the parabola. The vertex is defined by (h,k). Solve for p and count that many units from the vertex in the direction away from the directrix. (your focus should be inside the curve of your parabola)
What is the mathematical formula for a parabola?
Oh! i learnt about 8 different types of parabola! 1] y2 = 4ax 2] y2 = -4ax 3] x2 = 4ay 4] x2 = -4ay 5] (y-k)2 = 4a(x-h) 6) (y-k)2 = -4a(x-h) 7] (x-h)2 = 4a(y-k) 8] (x-h)2 = -4a(y-k)
Where is the vertex of a parabola?
when the function is in vertex form: y = a(x - h)2 + k, the point (h, k) is the vertex.
What is the geometric significant of k in equation yx3 k?
This equation yx3 k is that of a parabola. The variable h and k represent the coordinents of the vertex. The geometrical value k serves to move the graph of the parabola up or down along the line.
What is Parabola in geometry?
A parabola is not a shape, it is actually a curved line in a coordinate plane. It is shaped like a U turned in any direction. The two basic equations for it are y=a(x-h)2+k or x=a(y-k)2+h.
What is the coefficient of the squared term in the parabola's equation when the vertex is at -2 -3 and the point -1 -5 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (-2, -3), and a point on it is (-1, -5) → -5 = a(-1 - -2)² + -3 → -5 = a(1)² - 3 → -5 = a - 3 → a = -2 → The coefficient of the x² term is -2.
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 -3 -5 Which of the equations below could be the equation of this parabola?
2
The vertex of this parabola is at (-2, -3) When the x-value is -1, the?
Y=a(x-h)+k is the vertex formula. Since the vertex is at (-2,-3) this parabola has the equation: y=a(x+2)^2-3 We can plug in x=-1 but we really need to know a, to solve for y. ( we can solve it, but we will have an a in the solution)
What is the coefficient of the squared term in the parabola's equation when the vertex is at 3 5 and the point -1 6 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (3, 5), and a point on it is (-1, 6) → 6 = a(-1 - 3)² + 5 → 6 = a(-4)² + 5 → 1 = 16a → a = 1/16 → The coefficient of the x² term is 1/16
What is the coefficient of the squared term in the parabola's equation when the vertex is at 2 -1 and the point 5 0 is on it?
A parabola with vertex (h, k) has equation of the form: y = a(x - h)² + k → vertex (k, h) = (2, -1), and a point on it is (5, 0) → 0 = a(5 - 2)² + -1 → 0 = a(3)² -1 → 1 = 9a → a = 1/9 → The coefficient of the x² term is 1/9
