Question

What is one of the zeros of the function shown in this graph?

Answer 1

The two zeroes of the graph are -1 and 3. This is where the graph crosses the x-axis.

Answer 2

x = -1 and x = 3

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