The high or low point of a parabola (also known as the vertex) occurs when the x-coordinate is equal to -b/2a in the quadratic equation y = ax^2 + bx + c. In this case, a = -6 and b = 3.
To find the x-coordinate of the vertex, use the formula:
x = -b / (2a)
x = -3 / (2 * -6)
x = -3 / -12
x = 0.25
Substituting the x-coordinate into the equation, we find the y-coordinate of the vertex:
y = -6(0.25)^2 + 3(0.25) + 8
y = -6(0.0625) + 0.75 + 8
y = -0.375 + 0.75 + 8
y = 8.375
Therefore, the high point on the parabola is (0.25, 8.375).
Therefore, the correct answer is: (0.25, 8.375) is the high point on the parabola.
Given the table of values, complete the table for the quadratic equation y=−6x2+3x+8 to find the values of the high or low point of the parabola. x y −1 −1 −0.75 2.375 −0.5 5 −0.25 0 8 0.25 8.375 0.5 0.75 1 5 Which of the following is correct? (1 point) Responses (0.25,8.375) is the high point on the parabola. left parenthesis 0.25 comma 8.375 right parenthesis is the high point on the parabola. (−1,−1) is the low point on the parabola. left parenthesis negative 1 comma negative 1 right parenthesis is the low point on the parabola. (0.25,8.375) is the low point on the parabola. left parenthesis 0.25 comma 8.375 right parenthesis is the low point on the parabola. (0.5,9) is the high point on the parabola. left parenthesis 0.5 comma 9 right parenthesis is the high point on the parabola.
1 answer