The equation of the parabola Γ is y=2x2−2kx+2x−3k+8,where k is a real constant. Denote the straight line y=19 by L.抛物线Γ的方程为y=2x2−2kx+2x−3k+8,其中k为一实常数.将直线y=19记为L.(1)Prove that L and Γ intersect at two distinct points.证明L与 Γ相交于两相异...
Key features of the parabolaTo work with parabolas in the coordinate plane, we consider two cases: those with a vertex at the origin and those with a vertex at a point other than the origin. We begin with the former.Let [latex]\left(x,y\right)[/latex] be a point on the parabola ...
The focus of this parabola is A. (0, 1/8) B. (0, 1/4) C. (0, 1/2) D. (0, 1) 相关知识点: 试题来源: 解析 A。对于抛物线 y = 2x^2,其标准方程为 x^2 = 1/2y,2p = 1/2,p = 1/4,焦点坐标为(0, p/2),即(0, 1/8)。
Find an equation of a parabola with the vertex at (3, -8) and (5, -2). How do you find the y-coordinate of the vertex of a parabola? (a) What is the vertex of a parabola? (b) How do you determine the vertex of the parabola?
14 From the-|||-given we get that the coordinates of the vertex C-|||-of the parabola y =(x-2)2 are (2,0).Since-|||-y=2x+4-|||-x1=0x2=6-|||-y=(x-2)2-|||-the solution is-|||-y1=4y2=16-|||-Let the coordinates of A be (6,16)and B be (0,-|||-...
What is the smallest value of y = 3x^2 + 6x + 205(x + 1)? Quadratic Functions: The graph of a quadratic function is a parabola. If the parabola opens upwards, that is, if the leading coefficient is positive, then the minimum value of the function will be at the vert...
If y=2x^2-3x+1 is the result of translating another parabola down 1 unit, what is the equation of that other parabola? ( ) A. y=2(x+1)^2-3(x+1)+1 B. y=3x^2-2x C. y=2x^2-3x+2 D. y=2x^2-3x E. y=x^2-4x ...
Convert theparabola toy=2x^2+2/3x+5vertex form.y=2(x+1/3)^2+(179)/(36) y=2(x+1/3)^2-(181)/(36) B y=2(x+2/3)^2+(43)/9G y=2(x+1/6)^2+(89)/(18)H y=2(x+2/3)^2+(91)/(18)D y=2(x+1/6)^2+(91)/(18). y=2(x+1/3)^2+(89)/(18)E y=...
Find the vertex, focus, and directrix of the parabola. Then sketch the parabola. y=14(x2−2x+5) The Directrix of a Parabola Whenever we are given a quadratic function such as the one we are given in the equation, we can generate the graph of the ...
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