Absolute Value Functions and Translations
What is the vertex of the graph of f(x) = |x + 5| - 6?
C (-5, -6)
Which graph represents the function f(x) = |x + 3|?
B
The graph of g(x) = |x - h| + k is shown on the coordinate grid. What must be true about the signs of h and k?
D h must be negative and k must be positive.
The graph of is shown. On which interval is this graph increasing?
NOT C (6, ∞)
Which graph represents the function r(x) = |x - 2| - 1
A
The graph shows the function f(x) = |x - h| + k. What is the value of k?
A k = -2.5
Over which interval is the graph of the parent absolute value function f(x)= |x| decreasing?
B (-∞, 0)
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?
NOT A
Which equation represents the function graphed on the coordinate plane?
B g(x) = |x + 4| - 10
The graph shows the function f(x) = |x - h| + k. What is the value of h?
NOT D (h = 3.5)
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x| - 4 as a solid line?
A
Which functions have a vertex with a x-value of 0? Select three options.
1. f(x) = |x| 2. f(x) = |x| + 3 4. f(x) = |x| − 6
What is the range of the function g(x) = |x - 12| - 2?
B {y | y > -2}
The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?
C The range changes from {y | y > 0} to {y | y > 2}.