f(x)=-2|x|+3 what type of function is this

Answer 1

It's a linear function, with an inverted "V" shape, and vertex (0,3).

(0,3) is also the y intercept

x intercepts are (3/2, 0) and (-3/2, 0). It's symmetrical about the y axis. line of symmetry is x=0

It's the combination of 2 straight lines that intersect at the point (0,3)

for x>0, it's the line y=-2x+3, a downward sloping line

for x<0 it's the line y=2x+3, an upward sloping line