Question

F(t)=3-2t.2t+t write in standard form

Answer 1

Hello!

The answer is:
`f(t)=-4t^(2)+t+3`

Why?

Since we are given a quadratic function, we need to write it using the standard form of quadratic function (parabola).

The given function is:

`f(t)=3-2t.2t=+t`

The standard form of a parabola is:

`f(t)=a^(2)+bx+c`

Where,

a is equal to the quadratic variable coefficient

b is equal to the linear variable coefficient

c is the constant number

So, writing the function in the standard form will be:

`f(t)=3-2t*2t+t=3-4t^(2)+t=-4t^(2)+t+3`

`f(t)=-4t^(2)+t+3`

Where,

`a=-4\\b=1\\c=3`

Have a nice day!