Question

Give the required elements of the hyperbola. 4x^2 - y^2= 16 The value of b is:

Answer 1

a = 2

b = 4

Hope this helps you

Answer 2

a = 2

b = 4

Explanation:

4x² - y² = 16

General equation for a horizontal hyperbola:

(x-h)²/a² - (y-k)²/b² = 1

with center (h,k) & vertices (h±a,k)

Divide by the constant

4x²/16 - y²/16 = 1

x²/4 - y²/16 = 1

x²/2² - y²/4² = 1

center (h,k) = (0,0)

a = 2

b = 4