Name that Function
f(x) = |x|
absolute value
g(x)= (x + 2) + 4
(-2, 4)
f(x) = x2
Opens up - normal shape
f(x) = x - 2
-2
f(x) = 2x - 1
2
f(x) = x2
g(x) = 2x2
(0,0)
f(x) = - x2
opens down normal shape
f(x) = x
0
g(x) = -x + 2
-1
f(x) = x
linear
g(x) = (x - 2)2
(2, 0)
f(x) = 4x2
opens up vertical stretch factor of 4
g(x) = x + 4
4
y = 4
0 slope
y = 2x - 2
linear
g(x) = (x + 4) + 1
(-4, 1)
g(x) = -1/4 x2
opens down vertical shrink by a factor of 1/4
f(x) = x + 3/4
3/4
x = 6
no slope
g(x) = x2 - 3
(0,3)
g(x) = -3(x+1)2 -1
opens down vertical stretch by a factor of 3
f(x) = - x
0
y = -100x + 300
-100