Consider the following quadratic functions Without graphing them, answer the questions below a) f(x) 2x2 b) f(x) x2 c) f(x) 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

Question: Consider the following quadratic functions. Without graphing them, answer the questions below. a) f(x) = 2x2 b) f(x) = -x2 c) f(x) = x2

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?

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