The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x| + k is solid. Use the slider to change the value of k. How does changing the value of k affect the graph? Positive values of k shift the graph . Negative values of k shift the graph .
Answers
Given : The graph of the parent function f(x) = |x|
transformed function g(x) = |x – h|
To Find : How does changing the value of h affect the vertex?
Positive values of h shift the graph
Negative values of h shift the graph
Solution:
f(x) = |x|
is f(x) = x for x ≥ 0
f(x) = -x for x < 0
g(x) = |x – h|
Positive values of h shift the graph to the right
f(x) = x - h for x ≥ 0
f(x) = h - x for x < h
As values of h increase graph keep shifting to right
Vertex is ( h , 0) Vertex keep shifting to right with increases value of h
g(x) = |x – h|
Negative value of h shift the graph to the left
f(x) = x - h for x ≥ 0
f(x) = h - x for x < h
Vertex is ( h , 0) Vertex keep shifting to left with increases magnitude of negative h
Learn More:
The linear functions f(x) and g(x) are represented on the graph ...
https://brainly.in/question/26613167
The linear functions f(x) and g(x) are represented on the graph ...
https://brainly.in/question/26888631
Answer:
Positive values of k shift the graph
✔ up
Negative values of k shift the graph
✔ down
Step-by-step explanation:
i got it right on edge