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When rotating the axes for a parabola, what aspect of the equation remains unchanged?
The vertex coordinates
the value of the constant p
The equation of the axis of symmetry
If a parabola opens to the right and its equation is 4x = y2 what is the equation of the rotated parabola after rotating the axes by 60 degrees?
X12 = 4y1
X12 = 3y1
X12 = 8y1
Which angle of rotation will eliminate the x y term from the equation when rotating the axes for a parabola?
30 degrees
45 degrees
60 degrees
Which of the following statements is true regarding the equation of a parabola after rotating the axes?
The equation becomes more complicated
The equation always becomes linear
The equation can become simpler by eliminating cross-terms
If a parabola opens upward and its equation is x2=4py, what angle of rotation will align its major axis with the y-axis?
For a parabola in standard form y2=4px, if the rotation angle θ is such that coscos2θ = 0 , what is the value of θ?
θ=π/4
θ=π/2
θ=π
For a parabola in standard form x2=4py, what is the equation of the rotated parabola after rotating the axes by 30 degrees?
Y12 = 4px1
y12 = 8x1
y12 = 8px1
What is the effect of rotating the axes for a parabola on its vertex?
The vertex shifts along the major axis
The vertex remains unchanged
The vertex rotates around the origin
If a parabola opens to the left, what angle of rotation should be used to align its major axis with one of the coordinate axes?
When rotating the axes for a parabola, the primary goal is to eliminate which term from the equation?
x
y
x y
It is done.