###### Answer: d. x = -5/4 AP Physics Midterm Review

the directrix has the equation = − the tangent at point ( ) has the equation = −. For = the parabola is the unit parabola with equation =.

Mon Oct 22 2001 14:30:00 GMT-0400 (Eastern Daylight Time) · For the parabola the standard form has the focus on the x-axis at the point (a 0) and the directrix the line with equation x = −a. In standard form the parabola will always pass through the origin.

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The point on the original parabola was b = a 2. Our new point can be described by relating d and c in the same equation . b = d and a = c − 5. So d = b = a 2 = (c − 5) 2. Since this is true for all the points on our new parabola the new equation is y = (x − 5) 2. Application in classical physics

The graph of a univariate quadratic function is a parabola whose axis of symmetry is parallel to the y-axis as shown at right. If the quadratic function is set equal to zero then the result is a quadratic equation. The solutions to the univariate equation are called the roots of the univariate function.

The parabola represents the profile of the cable of a suspended-deck suspension bridge on which its cable and hangers have negligible mass compared to its deck. The profile of the cable of a real suspension bridge with the same span and sag lies between the two curves. The catenary and parabola equations are respectively y = cosh(x) and y =x 2

The trick is to write the quadratic form as. 5 x 2 + 8 x y + 5 y 2 = [ x y ] [ 5 4 4 5 ] [ x y ] = x T A x {\displaystyle 5x ^ {2}+8xy+5y^ {2}= {\begin…