Consider the following quadratic functions. Without graphing them, answer the questions below.
a) f(x) = 2x2
b) f(x) = -x2
c) f(x) = ¼ x2
d) f(x) = -5x2 + 3
e) f(x) = 2/3(x - 1)2 - 3
f) f(x) = -2(x + 3)2 + 1
g) f(x) = (x - 3)2 + 1
h) f(x) = -4(x + 1)2 - 3
1. Which functions have a maximum value?
2. Which graphs open up?
3. Consider (a) and (c). Which graph is narrower?