Question
The vertex of y=-2x^2-4x+2
Answers
GPT 3.5
To find the vertex of the parabola with equation y = -2x^2 - 4x + 2, we can use the formula for the x-coordinate of the vertex, which is given by x = -b/2a.
In this case, a = -2 and b = -4, so substituting these values into the formula we have x = -(-4)/(2*(-2)) = -(-4)/(-4) = 1.
To find the y-coordinate of the vertex, we substitute this x-value back into the original equation:
y = -2(1)^2 - 4(1) + 2 = -2 - 4 + 2 = -4.
Therefore, the vertex of the parabola y = -2x^2 - 4x + 2 is (1, -4).
In this case, a = -2 and b = -4, so substituting these values into the formula we have x = -(-4)/(2*(-2)) = -(-4)/(-4) = 1.
To find the y-coordinate of the vertex, we substitute this x-value back into the original equation:
y = -2(1)^2 - 4(1) + 2 = -2 - 4 + 2 = -4.
Therefore, the vertex of the parabola y = -2x^2 - 4x + 2 is (1, -4).