What is true of the function gx=-2x2+5 ? gx is the multiplication of g and x. -2x2+5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function.

Write properties of function: x intercept/zero: x_{1} = - \dfrac{\sqrt{10}}{2}, multiplicity 1; x_{2} = \dfrac{\sqrt{10}}{2}, multiplicity 1y intercept: y = 5domain: (-\infty, \infty)type of function: quadratic functionrange: (-\infty, 5]standard form: g{(x )} = - 2 x^{2} + 5vertex form: g{(x )} = - 2 x^{2} + 5vertex: (0,5)factorized form: noopen: downeven/odd/neither: evenmaximum: g{(x )} = 5atx = 0minimum: nodiscriminant: 40axis of symmetry: x = 0increasing interval: (-\infty, 0]decreasing interval: [0, \infty)order/degree: 2leading term: - 2 x^{2}leading coefficient: -2constant term: 5end behavior: as x→\infty，g(x)→-\infty; as x→-\infty，g(x)→-\inftygraph: https://p16-ehi-va.gauthmath.com/tos-maliva-i-ejcjvp0zxf-us/1009be1b2bc9469e851b535a160ad9d0~tplv-ejcjvp0zxf-scale:818:888.image