SOLUTION: Find the vertex, x and y intercepts of the parabola given by the equation Y=3x2 -2x+1

Question 519480: Find the vertex, x and y intercepts of the parabola given by the equation
Y=3x2 -2x+1
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
y = 3x^2 -2x +1
.

.
Axis is symmetry = -b/2a = -(-2)/2(3) = 2/6 = 1/3
x = 1/3
.
Vertex is point on the axis of symmetry defined by x=1/3
y = 3(1/3)^2 - 2(1/3) + 1
y = 3/9 - 2/3 +1
y = 3/9 - 6/9 + 9/9
y = 6/9 = 2/3
(1/3, 2/3)
.
y-intercept occurs when x=0, which is 1.
.
The equation does not factor, so the quadratic equation may be tried.
.

.
For these solutions to exist, the discriminant b^2-4ac should not be a negative number.
.
In this case the discriminant is -8. That means that there are no solutions among real numbers.

RELATED QUESTIONS
Find the vertex, x and y intercepts of the parabola given by the equation y=... (answered by josmiceli)

Find the vertex, x and y intercepts of the parabola given by the equation Y=3x2 -2x+1 (answered by oberobic)

find the vertex x and y intercept of the parabola given by the equation... (answered by lwsshak3)

Find the x-intercepts of the parabola with vertex (-1,-108)and y- intercepts (0,-105). (answered by Fombitz)

find the vertex and x-intercepts of the parabola described by the equation:... (answered by stanbon)

Find the x-intercepts of the parabola with vertex (4,-1)and y- intercept... (answered by ewatrrr)

Find the x intercepts of the parabola with vertex (1,-13) and y intercept... (answered by lwsshak3)

Find the x-intercepts of the parabola with vertex (4,-1) and y-intercept... (answered by Fombitz)

Find the x intercepts of the parabola with vertex -1,-108 and y intecept... (answered by stanbon)