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Use the algebraic tests to test the graph for symmetry in the x-axis, the y-axis, and the origin.
x - y2 = 4
Use the algebraic tests to test the graph for symmetry in the x-axis, the y-axis, and the origin.
y = x3 -2x
Describe the set of transformations from the parent function, f(x), to the graph of g(x).
g(x) = x2 - 3
Write an equation for the function described by the given characteristics:
The shape of f(x) = x3, but shifed 12 units up and then reflected in the x-axis.
(-∞, -5) U (-5, ∞) or x ≠ -5
[-2/3, ∞) or x ≥ -2/3
No it is not a function of x.
No it is not a function of x.
x = 2, 3
f(9) = 0
f(0) = 3
f(4x2) = 3 - 2x
f(-3) = 7
f(2) = 6
f(-2.5) = 0
f(-0.4) = 2
f(1.24) = 4
f(-4) = -1
f(-1) = 1
f(3) = -1
f(-2) = 4
f(1) = 2
f(5) = -1
(2,0)
(-2,0)
(0,4)
Maximums: (1,3), (6,8)
Minimums: (-2,-1), (2,-4)
Increasing: (-∞, -1), (0, 1)
Decreasing: (-1, 0)
Constant: (1, ∞)
Symmetry in the x-axis.
Symmetry in the origin.
Quadratic Function
Absolute Value Function
Cubic Function
Down 3.
g(x) = -3f(x + 3) - 4
g(x) = -(x3 + 12) or g(x) = -x3 - 12
Reflect in the x-axis, move right 2, and up 4.
Square Root Function
Reflect in the x-axis, and the y-axis.
Move left 2 and down 4.
g(x) = -f(-x + 2) - 4