Question

Find an equation for the graph. Type the equation of the given graph in the form y=A sin Bx or y = A cos Bx. (Type an equation. Type an exact answer, using * as needed. Use integers or fractions for any numbers in the equation. Simplify your answer.) he

Answer 1

Solution-

Assume the equation as

Y = Asin(BC

Here use some of the condition to find the value of A and B,

(0,0) ,(0.5,2),(1,0) will satisfy the given equation,

$0=Asin(BX0)$

means B=pi

$sin^{-1}(2/A)= 0.5X\pi$

$A=2$

Therefore, the final equation is

$Y=2sin(\pi x)$