Question

The graph of y = ax 2 + bx + c is shown below. Determine the solution set of 0 = ax 2 + bx + c.

1. {0,4}

2. {4}

3. 0

Answer 1

On the graph, it's shown that the function has two real roots. This means that there will be two solutions. So the answer is 1. {0,4}

Answer 2

the solution set of the quadratic equation is
`{0,4}`

Step-by-step explanation :

we know that

The zero's of a quadratic function are the values of x when the value of the function is equal to zero

so

In this problem observing the graph

The zero's of the function are the points
`(0,0)` and
`(4,0)`

therefore

the solution set of the quadratic equation is
`{0,4}`