1 / 10
00
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 left, what angle of rotation should be used to align its major axis with one of the coordinate axes?
30 degrees
45 degrees
60 degrees
When rotating the axes for a parabola, the primary goal is to eliminate which term from the equation?
x
y
x y
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
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
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
If a parabola opens upward and its equation is x2=4py, what angle of rotation will align its major axis with the y-axis?
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
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
Which angle of rotation will eliminate the x y term from the equation when rotating the axes for a parabola?
It is done.