The graph is inserted. graph {y>=2x^2-2x-5 [-6, 6, -12, 12]} y = 2x^2-2x-5=2 (x-1/2)^2-11/2, giving the standard form (x-1/2)^2=4 (1/8) (y+11/2) The vertex ( least-y point ) of this parabola is (1/2, …

Explanation: A parabola is the locus of a point, which moves so that its distance from a given line called directrix and a given point called focus, is always equal.

May 6, 2017 · Know that the parent function is y = x2. This is where we start and so our starting function looks like this: y = x2 graph {x^2 [-10.04, 9.96, -1, 9]} Looking at just y = (x −3)2 the …

See graph.. At the common points of the circle r = 3costheta and the cardioid r = 3 (1-costheta), r =3costheta=3 (1-costheta), giving costheta=1/2 In (-pi, pi), the angles alpha and beta as …

Explanation: Let their be a point # (x,y)# on parabola. Its distance from focus at # (18,41)# is #sqrt ( (x-18)^2+ (y-41)^2)# and its distance from directrix #x=110# will be #|x-110|# Hence equation …

The 2 points here are (-1 ,-4) and (-3 ,2) let (x_1,y_1)= (-1,-4)" and " (x_2,y_2)= (-3,2) d=sqrt ( (-3- (-1))^2+ (2- (-4))^2)=sqrt (4+36)≈6.325 sum of radii = radius of A + radius of B = 3 + 2 = 5 …

How do you graph y = − x2 + 4? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs

How do I graph the hyperbola represented by #4x^2-y^2-16x-2y+11=0#? What information do you need to graph hyperbolas? How do you find the center of the hyperbola, its focal length, and …

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #2x - 3y = 14# and #2x + y = -10#?

How do you graph the line y = − 1 2 x + 5? Algebra Graphs of Linear Equations and Functions Graphs of Linear Equations