10. What is the equation of a line that passes through the point (4, 1) and is parallel to the line 2x - y = 42 A. y = 2x + 2 B. y = 2x - 7 C. y = -2x + 6 D. y=-2x + 9​

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  2x -y = 7

Step-by-step explanation:

Only the constant is different for the parallel line. It must be chosen so that the given point satisfies the equation.

  2x -y = 2(4) -(1) = 7

The equation is ...

  2x -y = 7

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

a) 7x=7

step-by-step explanation: