To find the values of the high or low point of the parabola, you need to find the x-coordinate of the vertex. The x-coordinate of the vertex can be found using the formula:
x = -b/(2a)
For the quadratic equation 3x^2 - 6x + 9, the coefficient of x^2 is 3 and the coefficient of x is -6.
So, x = -(-6)/(2(3)) = 6/6 = 1.
To find the y-coordinate of the vertex, substitute the x-coordinate into the equation:
y = 3(1)^2 - 6(1) + 9 = 3 - 6 + 9 = 6.
Therefore, the high or low point of the parabola is (1, 6).
Given this table of values, complete the table for the quadratic equation 3x2−6x+9
to find the values of the high or low point of the parabola.
x y
−3 54
−2 33
−1
0
1
2 9
(1 point)
The high or low point of this parabola is (, ).
1 answer
1 answer