Question

Write a function in any form that would match the graph shown below.

thanks :3​

Answer 1

Answer:

this is the correct answer for the question

Answer 2

Answer:

The function that matches the graph is $y(x)=(1-x)(x+2)^{2}$

Step-by-step explanation:

From the graph, the curve crosses the x-axis at $x=1$

                therefore, the expression is $(x-1)$

And at negative x-axis at $x=-2$, it is the turning point

               therefore, the expression is $(x+2)^{2}$

And the point on y-axis is $(0, 4)$  

Therefore the function can be written as  

               $y(x)=a(x-1)(x+2)^{2}\implies 4=a(0-1)(0+2)^{2}$    

                                                       $\implies 4=-4a\implies a=-1$

Therefore, the function is $y(x)=(-1)(x-1)(x+2)^{2}$

                                           $\implies y(x)=(1-x)(x+2)^{2}$

Therefore, the function that matches the graph is $y(x)=(1-x)(x+2)^{2}$