In this lesson, we will learn how to write the equation of a hyperbola and find a hyperbola’s vertices and foci using its equation and graph.
Students will be able to
Q1:
Write the equation of the rectangular hyperbola passing through (1,1) with asymptotes meeting at (3,−4).
Q2:
The graph shows a sketch of the hyperbola given by the equation 4𝑦−𝑥+8𝑦−10𝑥=25.
Give the coordinates of the center 𝐶.
Give the coordinates of the vertices 𝑉 and 𝑉.
Give the coordinates of the foci 𝐹 and 𝐹.
Give the equations of the asymptotes 𝐴 and 𝐴.
Q3:
The graph shows a sketch of the hyperbola given by the equation (𝑦−2)25−(𝑥+3)2=1.
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