Write the equation of the parabola as yy in terms of xx. y=14px2y=14px2Example 1 Point (4,2)(4,2) is on the graph of a parabola with vertex at the origin (0,0)(0,0) and vertical axis. Find the focus of the parabola, graph it and label the focus and graph the directrix...
How to find the equation of a parabola with given vertex? Parabola: Relevant Expressions A parabola can be written as a function in several ways: {eq}f(x) = ax^2 + bx + c {/eq} is a standard form, where {eq}a, b, c {/eq} are coefficients {eq}f(x) = a(x - x_1)...
【解析】Because the verter of the parabola is at(h,k)=(1,2), the equation has the formf(x)=a(x-1)^2+1 . Substitute for h and k in standard form.Because the parabola passes through the point(,0), it follows that f(0)=0. So,0=a(0-1)2+2→a=-2 Substitute o for ; so...
The parabola is symmetric with respect to its axis. This means that the axis of symmetry of a parabola is along the x-axis if the equation has the term with y2.On the other hand an equation of a parabola has the axis of symmetry along the y-axis if the equation has the term with ...
The directrix of the parabola is the horizontal line perpendicular to the axis of symmetry. If the axis of symmetry is {eq}x- {/eq} axis, then the directrix of the parabola with the focus {eq}a {/eq}, and the vertex {eq}(h,k) {/eq} is, {eq}x=h \pm a {/eq}. Similarly...
The equation of a parabola can be expressed in either standard or vertex form as shown in the picture below. Standard Form Equation The standard form of a parabola's equation is generally expressed: $$ y = ax^2 + bx + c $$ The role of 'a' If $ a > 0 $, the parabola opens...
It is the ratio of the distance of a point from the focus, to the distance of the point from the directrix. The eccentricity of a parabola is equal to 1.Here are the formulas to find the equation of the axis, directrix, vertex, focus, and length of the latus rectum of different ...
parabola opens down instead of up, then the vertex will be at the top of the arch. If the parabola opens right or left, then the vertex will be the leftmost or rightmost, respectively, point on the parabola. In each case, the vertex and the open side of the parabola are on opposite...
Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. directrix: x = 1 A. x 2 = –4 y B. x 2 = 4 y C. x 2 = y D. y 2 = x E. y 2 = –4 x 如何将EXCEL生成题库手机刷题 如何制作自己的在线小题库 > 手...
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