The translation of the original function f(x) = |x| left 2 units and up 1 unit results in the function g(x) = |x + 2| + 1.
Substitute x = -4 into the new function:
g(-4) = |-4 + 2| + 1
g(-4) = |-2| + 1
g(-4) = 2 + 1
g(-4) = 3
Therefore, the point (-4, 3) lies on the new graph of g(x) = |x + 2| + 1.
None of the given points is on the new graph.
The graph of f(x) = |x| has been translated left 2 units and up 1 unit. If no other transformations of the function have occurred, which point lies on the new graph?
(–4, 2)
(–3, 1)
( –2, 5)
( –1, 2)
3 answers
-1,2
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).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?
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.
3. On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).Which equation represents the function graphed on the coordinate plane?
g(x) = |x – 4| – 10
g(x) = |x + 4| – 10
g(x) = |x – 10| + 4
g(x) = |x + 10| – 4
4. On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).The graph shows the function f(x) = |x – h| + k. What is the value of h?
h = –3.5
h = –1.5
h = 1.5
h = 3.5
5. Which graph represents the function r(x) = |x – 2| – 1 1. On a coordinate plane, an absolute value graph has a vertex at (2, negative 1). 2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, negative 1). 3. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2). 4. On a coordinate plane, an absolute value graph has a vertex at (negative 1, negative 2).
6. What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
7. 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? 1. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0). 2. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2). 3. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0). 4. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).
8. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5).The graph shows the function f(x) = |x – h| + k. What is the value of k?
k = –2.5
k = –1
k = 1
k = 2.5
9. Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?
(–∞, ∞)
(–∞, 0)
(–6, 0)
(0, ∞)
10. On a coordinate plane, an absolute value graph has a vertex at (10, 6).The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?
(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).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?
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.
3. On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).Which equation represents the function graphed on the coordinate plane?
g(x) = |x – 4| – 10
g(x) = |x + 4| – 10
g(x) = |x – 10| + 4
g(x) = |x + 10| – 4
4. On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).The graph shows the function f(x) = |x – h| + k. What is the value of h?
h = –3.5
h = –1.5
h = 1.5
h = 3.5
5. Which graph represents the function r(x) = |x – 2| – 1 1. On a coordinate plane, an absolute value graph has a vertex at (2, negative 1). 2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, negative 1). 3. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2). 4. On a coordinate plane, an absolute value graph has a vertex at (negative 1, negative 2).
6. What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
7. 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? 1. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0). 2. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2). 3. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0). 4. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).
8. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5).The graph shows the function f(x) = |x – h| + k. What is the value of k?
k = –2.5
k = –1
k = 1
k = 2.5
9. Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?
(–∞, ∞)
(–∞, 0)
(–6, 0)
(0, ∞)
10. On a coordinate plane, an absolute value graph has a vertex at (10, 6).The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?
(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)
hellp answer my question -1,2
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).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?
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.
3. On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).Which equation represents the function graphed on the coordinate plane?
g(x) = |x – 4| – 10
g(x) = |x + 4| – 10
g(x) = |x – 10| + 4
g(x) = |x + 10| – 4
4. On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).The graph shows the function f(x) = |x – h| + k. What is the value of h?
h = –3.5
h = –1.5
h = 1.5
h = 3.5
5. Which graph represents the function r(x) = |x – 2| – 1 1. On a coordinate plane, an absolute value graph has a vertex at (2, negative 1). 2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, negative 1). 3. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2). 4. On a coordinate plane, an absolute value graph has a vertex at (negative 1, negative 2).
6. What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
7. 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? 1. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0). 2. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2). 3. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0). 4. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).
8. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5).The graph shows the function f(x) = |x – h| + k. What is the value of k?
k = –2.5
k = –1
k = 1
k = 2.5
9. Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?
(–∞, ∞)
(–∞, 0)
(–6, 0)
(0, ∞)
10. On a coordinate plane, an absolute value graph has a vertex at (10, 6).The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?
(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, 1).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?
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.
3. On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 10).Which equation represents the function graphed on the coordinate plane?
g(x) = |x – 4| – 10
g(x) = |x + 4| – 10
g(x) = |x – 10| + 4
g(x) = |x + 10| – 4
4. On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, negative 3.5).The graph shows the function f(x) = |x – h| + k. What is the value of h?
h = –3.5
h = –1.5
h = 1.5
h = 3.5
5. Which graph represents the function r(x) = |x – 2| – 1 1. On a coordinate plane, an absolute value graph has a vertex at (2, negative 1). 2. On a coordinate plane, an absolute value graph has a vertex at (negative 2, negative 1). 3. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2). 4. On a coordinate plane, an absolute value graph has a vertex at (negative 1, negative 2).
6. What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
7. 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? 1. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0). 2. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2). 3. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0). 4. On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).
8. On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5).The graph shows the function f(x) = |x – h| + k. What is the value of k?
k = –2.5
k = –1
k = 1
k = 2.5
9. Over which interval is the graph of the parent absolute value function f(x)=|x| decreasing?
(–∞, ∞)
(–∞, 0)
(–6, 0)
(0, ∞)
10. On a coordinate plane, an absolute value graph has a vertex at (10, 6).The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?
(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)
1 answer