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

Answer:

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

Step-by-step 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)