Question

One x-intercept for a parabola is at the point

(1,0). Use the factor method to find the other x-
intercept for the parabola defined by this
equation:
y=-3x2 + 12x - 9
Separate the values with a comma.
Enter the correct answer,

Answer 1

Therefore the two x intercepts are (1,0), which is given, and (3,0)

Explanation:

i) x intercept can be found from the equation by solving x for y = 0

ii) therefore y = - 3
`x^(2)` + 12 x -9 = 0

therefore 3
`x^(2)` - 12x + 9 = 0
`\Rightarrow`
`x^(2)` - 4x + 3 = 0
`\Rightarrow` (x-3)(x-1) = 0

Therefore the two x intercepts are (1,0), which is given, and (3,0)