Provide an appropriate response.Explain why the vertex of a parabola must lie on its axis.

What will be an ideal response?


Explanations will vary. One possibility: The vertex of a parabola must lie on its axis because, by definition, the axis is a line that intersects the vertex, dividing the parabola into two equal parts. For the parabola defined by the following function:

the vertex is at (h, k) and the vertical line x = h is the axis of the parabola. This vertical line includes all ordered pairs (h, y) and thus clearly includes (h, k).

Mathematics

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Subtract. - 

A.  y + 
B. - y + 
C. - y + 
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Mathematics

Let f(x) = 8x2 - 5x and g(x) = 7x + 9. Find the composite.f[g(-k)]

A. 392k2 + 973k + 603 B. 56k2 - 35k + 9 C. 56k2 + 35k + 9 D. 392k2 - 973k + 603

Mathematics

Find the vertex and axis of symmetry of the graph of the function.f(x) = x2 + 6x + 8

A. (-3, -1); x = -3 B. (-3, 1); x = -3 C. (3, -1); x = 3 D. (3, 1); x = 3

Mathematics

Simplify the expression  as much as possible after substituting  for x. ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics