Answer:
the y-coordinate of the vertex: 7/4
Step-by-step explanation:
y = x^2 - x + 2
axis of symmetry (x-coordinate of vertex) = -b/2a = - (-1)/2(1) = 1/2
Plug in x = 1/2 to find the y-coordinate of the vertex:
y = (1/2)^2 - (1/2) + 2
y = 1/4 - 2/4 + 8/4
y = 7/4
Vertex (1/2 , 7/4)
Answer:
the y-coordinate of the vertex: 7/4
The y-coordinate of the vertex of the parabola whose equation is y = x²- x + 2 is y - 7/4.
y = x² - x + 2 axis of symmetry (x-coordinate of vertex) = -b/2a = - (-1)/2(1) = 1/2
Plug in x = 1/2 to find the y-coordinate of the vertex:
y = (1/2)² - (1/2) + 2
y = 1/4 - 2/4 + 8/4
y = 7/4
Vertex (1/2 , 7/4)
The parabola equation in its vertex form is y = a(x - h)² + k , where: a — Same as the a coefficient in the standard form; h — x-coordinate of the parabola vertex; and. k — y-coordinate of the parabola vertex.
A parabola is nothing but a U-shaped plane curve. Any point on the parabola is equidistant from a fixed point called the focus and a fixed straight line known as the directrix. Terms related to Parabola.
Learn more about Parabola, refer
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