Answers Algebra IUnit Test

Absolute Value Functions and Translations Answers

0 verified answers

Free Preview

On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).

Both h and k must be positive.

Both h and k must be negative.

h must be positive and k must be negative.

h must be negative and k must be positive.

Free Preview

What is the vertex of the graph of f(x) = |x + 5| – 6?

(–6, –5)

(–6, 5)

(–5, –6)

(5, –6)

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?

The range is the same for both functions: {y | y is a real number}.

The range is the same for both functions: {y | y > 0}.

The range changes from {y | y > 0} to {y | y > 2}.

The range changes from {y | y > 0} to {y | y > 6}.

On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).

h = –3.5

h = –1.5

h = 1.5

h = 3.5

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).

g(x) = |x – 4| – 10

g(x) = |x + 4| – 10

g(x) = |x – 10| + 4

g(x) = |x + 10| – 4

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?

Option

Which graph represents the function f(x) = |x + 3|?

On a coordinate plane, an absolute value graph has a vertex at (0, 3).