Find the x-intercepts for the parabola defined
by this equation:
y=3x² + 6x-9
Write your answer as two ordered pairs:
(x1,71). (x2.2)
Separate the values with a comma. Round, if
necessary, to the nearest hundredth,

(- 3, 0 ), (1, 0 )

Step-by-step explanation:

To find the x- intercepts, let y = 0, that is

3x² + 6x - 9 = 0 ( divide through by 3 )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

The x- intercepts are (- 3, 0 ), (1, 0 )

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

4.

step-by-step explanation:

it have the same area.brainliest