figure b parabola cheat sheet for vertically oriented parabolas focus vertex axis of symmetry and directrix figure a how to think about parabola orientation when given only a focus and vertex example 3 write the standard equation of the parabola with a focus at f 6 given equation of parabola with vertex and focus jennarocca 4 standard equation of a translated parabola horizontal axis vertex h k focus h p k directrix x h p axis of symmetry y k y k 2 find equation of parabola jennarocca resistor large size finding the directrix of a parabola given its vertex and focus figure the equation of the directrix is x 4 0 write an equation of a parabola with a vertex at the origin and the given directrix writing the equation of a vertical parabola given focus vertex math showme writing equations of parabolas in vertex form worksheet tessshlo find the equation of the parabola that satisfies the given conditions graphing parabolas equations worksheet answers jennarocca standard equation of a parabola given vertex and focus jennarocca 9 convert the equation to a parabola in vertex form x a y k 2 h find the vertex focus directrix 7 2 complete the square practice problems prove that the graph of the given equation is a parabola then write an equation for the parabola with focus f 0 equations of hyperbolas understanding the forms of the equation and how the focal point vertex and directrix relate to each other allows us to determine information from each 5 parabola examples find the focus vertex directrix of the parabola x 0 125y 2 0 25y 0 125 and graph the parabola writing equation from graph using focus conic form of a parabola example 2 write the standard equation of the parabola with its vertex at the origin and most viewed thumbnail get equation of hyperbola parabola graph equation axis of symmetry focus directrix and wolfram mathworld wolfram research write an equation for the parabola with vertex v 0 0 light reflector parabola problem parabola whose vertex at a given point and axis is parallel to y axis image titled graph a parabola step 1 a graphing parabolas solution since a 4 we know that the parabola opens downward and there will be a maximum y value to find it we first find the x value of the vertex a parabola has the equation y2 8x sketch the directrix and focus additional examples graph ellipse from a few points 3 rigor you will learn how to yze and graph equations of parabolas and how to write equations of parabolas relevance you will be able to use graphs ellipses 10 write the standard form of the equation of the parabola with the given focus