Parabolas Answers

If the equation is further simplified, which equation for a parabola does it become?

When the focus and directrix are used to derive the equation of a parabola, two distances were set equal to each other.

directix✔ focusoriginx-axis

The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. If the graph of the satellite dish is given by the equation x2 = 8y, what are the coordinates of the focus?

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Lauren describes a parabola where the focus has a positive, nonzero x coordinate. Which parabola(s) could Lauren be describing? Check all that apply.x2 = 4yx2 = –6yy2 = x y2 = 10xy2 = –3xy2 = 5x

The parabola has a focus at (−3, 0) and directrix x = 3. What is the correct equation for the parabola?

Which statements are true for the equation x2 = −4y? Check all that apply.The axis of symmetry is x = 0.The focus is at (0, –1).The parabola opens up.The parabola opens right.The value of p = −1.The equation for the directrix is y = 0.

If the directrix of a parabola is the horizontal line y = 3, what is true of the parabola?

The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. If the graph of the satellite dish is given by the equation x2 = 8y, what are the coordinates of the focus?