Question

Use the factor method to find the X intercept for the parable defined by equation: y=-3x^2+12x-9

Answer 1

x-intercepts are

`x=1`

`x=3`

Explanation:

we are given equation as

`y=-3x^2+12x-9`

For finding x-intercept , we can set y=0

and then we can solve for x

`y=-3x^2+12x-9=0`

we can factor it

`-3(x^2-4x+3)=0`

`-3(x-1)(x-3)=0`

now, we can set each terms to 0

and then we can solve for x

`(x-1)=0`

`x=1`

`(x-3)=0`

`x=3`

So, x-intercepts are

`x=1`

`x=3`