The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2). The graph has a vertex at (h, –5). Describe how to find the value of h. Then, explain how this value translates the graph of the parent function.
Answers
Answer:The absolute function is symmetric with its vertex on the line of symmetry
explanation:Because the points (-6,-2) and (0,-2) have the same output, the points are the same distance from the line of symmetry. Midway between -6 and 0 is the value of -3. Therefore, the vertex must have an x- coordinate of -3, which is the value of H. This would translate the graph of the parent function 3 to left.
Hope it helped I guess copy it? IDK oh yea pls mark brain
Given : The graph of f(x) = |x – h| + k contains the points (–6, –2) and (0, –2).
To Find : the value of h
Solution:
f(x) = |x – h| + k
points (–6, –2) and (0, –2)
=> - 2 = | - 6 - h | + k
-2 = | - h | + k
| - 6 - h | = | - h |
two possible cases
- 6 - h = - h or -6 - h = h
=> -6 = 0 or h = - 3
not possible Hence h = - 3
-2 = | - h | + k
=> - 2 = | -(-3)| + k
=> k = - 5
Parent function f(x) = | x |
f(x) = |x – h| + k
f(x) = | x -(- 3) | - 5
Hence Shifted horizontally 3 units on the left
and 5 units vertically down
Graph has vertex at (-3 , - 5)
the value of h is - 3
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