y = x² - 4x - 2 Parabola is in often occurring style ax² + bx + c, the place a = one million, b = - 4, c = - 2 Equation of the axis of symmetry is x = - b/2a = - - 4/2(one million) = 2 that's the x-coordinate of the vertex. fixing the function for this cost provides the y-coordinate. y = 2² - 4(2) - 2 = 4 - 8 - 2 = - 6 Vertex is (2, - 6).
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Since it's multiple choice, foil it out.
y = x² - 4x - 2 Parabola is in often occurring style ax² + bx + c, the place a = one million, b = - 4, c = - 2 Equation of the axis of symmetry is x = - b/2a = - - 4/2(one million) = 2 that's the x-coordinate of the vertex. fixing the function for this cost provides the y-coordinate. y = 2² - 4(2) - 2 = 4 - 8 - 2 = - 6 Vertex is (2, - 6).
x^2 + 4x -1 = Y
x^2 +4x + 5 -1 = Y + 5...........complete the square
x^2 + 4X + 4 = Y+5
(x+2)^2 = Y+5
(x+2)^2 - 5 = Y
(b)
y = x² + 4x - 1
y = (x² + 4x + 4) - 5
y + 5 = (x + 2)²
The vertex is (-2,-5).
b. y = (x+2)² - 5