Rewrite the equation of the hyperbola in standard form.
16x2 – 4y2 = 64
Rewrite the equation of the hyperbola in the standard form.
100y2 – 9x2 = 25
y2 – 9x2 = 36
Calculate the vertices and foci of the hyperbola.
Determine the vertices and foci of the hyperbola:
Rewrite the equation in standard form. Determine the foci and vertices.
4x2 – 25y2 = 100
Rewrite the equation in standard form. Identify the vertices and foci of the hyperbola.
49y2 – 16x2 = 784
Graph the equation and identify the foci and asymptotes:
Graph the equation 100x2 – 64y2 = 6400 and identify the foci and asymptotes.
Graph the equation: x2 + y2 = 20
Graph the equation: x2 = 25y
Graph the hyperbola:
Graph the inequality y2 – x2 9
Graph the inequality
Find an equation of the hyperbola with the given foci and vertices.
Foci: (–10, 0), (10, 0), Vertices: (–9, 0), (9, 0)
Foci: (0, –16), (0, 16), Vertices: (0, –7), (0, 7)
Write an equation of the parabola, given:
Center: (0, 0)
Foci: (–5, 0), (5, 0)
Vertices: (–2, 0), (2, 0)
An equation for a hyperbola is given. Obtain two points on the curve with x–coordinate equal to 4.
Find the asymptotes of the parabola:
Sketch its graph.
Determine the foci of the hyperbola whose:
Asymptotes: y = 5x, y = –5x
A hyperbola with endpoints of the transverse axis at (–3, 0) and (3, 0) is centered at the origin. The square of the distance from the center to a focus is 45. Find an equation and graph the hyperbola.
Identify the common features of the given hyperbolas.
And also identify in what way does the given hyperbolas differ .
The coordinates of foci and the difference of focal radii are given. Use the definition of hyperbola and find the equation.
Foci: (–4, 0) and (4, 0)
Difference of focal radii = 4
