The values of a and b in the equation will be 8 and 15.
What is a hyperbola?
The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The equation of the hyperbola is given as,
y² / a² – x² / b² = 1
Where, a and b are the constant.
From the graph, the y-intercepts of the hyperbolic function are (0, 8) and (0, –8).
Then the value of a will be
8² / a² – 0² / b² = 1
8² / a² = 1
a² = 8²
a = 8
Then the value of a will be 8.
From the graph, the x-intercepts of the hyperbolic function are (15, 0) and (–15, 0).
Then the value of a will be
0² / a² – 15² / b² = 1
225 / b² = 1
b² = 225
b = 15
Then the value of b will be 15.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
#SPJ5
