Question

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

Answer 1

Answer:

x-intercepts are

$x=1$

$x=3$

Step-by-step 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

$x=1$

$x=3$