The graph of your quadratic function intersects the x-axis at x = 1 and x = -2 and passes through the point (3, 20)

[zalp-_]

The graph of your quadratic function intersects the x-axis at x = 1 and x = -2 and passes through the point (3, 20)

please tell me, the factored form, standard form, vextex form and vertex!

 

[Deleted member 4993]

please tell me, the factored form, standard form, vextex form and vertex!

Please show us examples of:

the factored form,​

​

standard form,​

​

vertex form and​

​

vertex!​

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[skeeter]

The 3 forms of Quadratic functions – GeoGebra

 

[HallsofIvy]

If a quadratic function crosses the x-axis at 1 and -2 then it can be written f(x)= a(x- 1)(x+ 2).
The condition that f(3)= 20 gives you an equation to solve for a.

Another method: any quadratic function can be written as f(x)= ax^2+ bx+ c. Saying that the graph crosses the x-axis at x= 1 means that a(1^2)+ b(1)+ c= a+ b+ c= 0. Saying that the graph crosses the x-axis at x= -2 means that a(-2)^2+ b(-2)+ c= 4a- 2b+ c= 0. Saying that the graph includes (3, 20) means that a(3^2)+ b(3)+ c= 9a+ 3b+ c= 20. That is 3 equations to solve for a, b, and c.