Answer:
4x² + 16x + 15 = 0
Step-by-step explanation:
We'll begin by determining the solutions to the graph.
The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:
The solutions to the graph are:
x = –1.5 or –2.5
Finally, we shall determine the equation for the graph as follow:
x = –1.5 or x = –2.5
x = –3/2 or x = –5/2
Cross multiply
2x = –3 or 2x = –5
Rearrange
2x + 3 = 0 or 2x + 5 = 0
Combine
(2x + 3)(2x + 5) = 0
Expand
2x(2x + 5) + 3(2x + 5) = 0
4x² + 10x + 6x + 15 = 0
4x² + 16x + 15 = 0
Thus, the equation for the graph is:
4x² + 16x + 15 = 0
