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Which accurately describes the equation of y=-3x^2 + 12x - 9? *Mark only one oval.vertex at (2, 3); passes through (0, 1)vertex at (2, 3); passes through (1, 0)vertex at (3, 2); passes through (0, 1)O vertex at (3, 2

Which accurately describes the equation of y=-3x^2 + 12x - 9? *Mark only one oval-example-1

1 Answer

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Given:


y=-3x^2+12x-9

Required:

We need to find the vertex and the point lies on the given parabola.

Step-by-step explanation:

The given equation is of the form.


y=ax^2+bx+c

where a =-3, b =12 and c =-9.

Consider the formula to find the x-coordinate of the vertex.


x=-(b)/(2a)

Substitute a =-3 and b =12 in the formula.


x=-(12)/(2(-3))
x=-(12)/(-6)
x=2

Substitute x =2 in the given equation to find the y-coordinate of the vertex.


y=-3(2)^2+12(2)-9
y=-12+24-9
y=3

The vertex is (2,3).

Substitute x =0 in the given equation.


y=-3(0)^2+12(0)-9
y=-9

The point is (0,-9).

Substitute x =1 in the given equation.


y=-3(1)^2+12(1)-9
y=-3+12-9
y=0

The point is (1,0).

Final answer:

Vertec at (2,3) and passes through (1,0).

User Ssobczak
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