Find the vertex of the graph of y = 2 x ² $-$ 24 x + 19. A)(12, 53) B)(6, -53) C)(-12, -53) D)(-6, -53) E)(-6, 53)

Question

Quizplus · Accepted Answer

The vertex of a parabola in the form y = ax^2 + bx + c is given by the formula (-b/2a, f(-b/2a)). For y = 2x^2 - 24x + 19, a = 2 and b = -24. The x-coordinate of the vertex is -(-24)/(2*2) = 6. Plugging x = 6 into the equation gives y = 2(6)^2 - 24(6) + 19 = -53. Thus, the vertex is (6, -53).

Find the Vertex of the Graph of Y = 2 −-−

Find the Vertex of the Graph of Y = 2 $-$