Question

please explain me to draw graph

Answer 1

y = -X^2 + 4 |x| -3

for x>0

y = - x^2 + 4x -3

As its quadratic so it would be parabola

its discriminant = 16 - 4(-1)(-3)>0

So it will intersect at two points in x axis

its a<0

so it will be downwards



Now if x<0

y = - x^2 - 4x -3

discriminant = 16 -4(-1)(-3)>0

so it would be of same shape

its maximum value

-D/4A = -12/-4 = 3


Actually both are mirror images wrt to y axis