For Exercises 71–78, given a quadratic function defined by f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , match the graph with the function based on the conditions given. a < 0 , h = 2 , axis of symmetry x = 2 , k < 0
For Exercises 71–78, given a quadratic function defined by f ( x ) = a ( x − h ) 2 + k ( a ≠ 0 ) , match the graph with the function based on the conditions given. a < 0 , h = 2 , axis of symmetry x = 2 , k < 0
Solution Summary: The author explains that the graph in option c matches with the given quadratic function, based on the conditions.
For Exercises 71–78, given a quadratic function defined by
f
(
x
)
=
a
(
x
−
h
)
2
+
k
(
a
≠
0
)
, match the graph with the function based on the conditions given.
In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2 2. ƒ(x) = 1 - 2x3. F(x) = sqrt(5x + 10) 4. g(x) = sqrt(x2 - 3x)5. ƒ(t) = 4/3 - t6. G(t) = 2/t2 - 16
For Exercises 103–104, given y = f(x),
remainder
a. Divide the numerator by the denominator to write f(x) in the form f(x) = quotient +
divisor
b. Use transformations of y
1
to graph the function.
2x + 7
5х + 11
103. f(x)
104. f(x)
x + 3
x + 2
In Exercises 39–44, an equation of a quadratic function is given.
a. Determine, without graphing, whether the function has a
minimum value or a maximum value.
b. Find the minimum or maximum value and determine
where it occurs.
c. Identify the function's domain and its range.
39. f(x) = 3x – 12x – 1
41. f(x) = -4x² + &r – 3
43. f(x) = 5x? - 5x
40. f(x) = 2x? – &r – 3
42. f(x) = -2r² – 12x + 3
44. f(x) = 6x - 6x
%3D
%3D
%3D
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