Answer:
x = -1 and x = 3
Step-by-step explanation:
The given graph is of a parabola with vertex as (1, -4)
So the equation will be y = ( x - 1)² + (-4)
y = ( x-1 )² -4
for the zeros we will put y = 0
0 = (x - 1 )² - 4
( x - 1 )² - 2² =0
( x - 1 - 2 ) ( x - 1 + 2 ) = 0
( x - 3) ( x + 1 ) = 0
x = -1
or x = 3
Which is clear from the graph that parabola intersect x-axis at x = -1 and x = 3
So zeros of the parabola are x = -1 and x = 3
