Question

Question #5d6a0

Answer 1

`x = 4,6`

Explanation:

The y-intercept `(0, y)` is when `x=0`. The x-intercept `(x,0)` is when `y=0`. So to find the x-intercept we will set `y = f(x)` to `0` and solve for `x`.
`f(x)=-3(x-5)^2+3`
`0=-3(x-5)^2+3`
`0=-3(x^2-10x+25)+3`
`0=-3x^2+30x-75+3`
`0=-3x^2+30x-72`
`0=-3(x^2-10x+24)`
`0=-3(x-6)(x-4)`

`x-6=0`
`x=6`

`x-4=0`
`x=4`

so `x = 4,6`
You should also double-check your answers by plugging the values back into the original question. Sometimes the answers you get can be erroneous.