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Compare the function with the parent function without graphing what are the avertex axis of symmetry and transformation of the...Question
9. Compare the function with the parent function. Without graphing, what are the
vertex, axis of symmetry, and transformations of the given function?
y = |6x + 3| − 1
vertex, axis of symmetry, and transformations of the given function?
y = |6x + 3| − 1
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GPT 3.5
The parent function for this given function is y = |x|.
The vertex of the given function is the point (-3/6, -1), which is found by setting the expression inside the absolute value equal to zero: 6x + 3 = 0, and solving for x.
The axis of symmetry is the vertical line that passes through the vertex, which is the line x = -3/6.
The transformations of the given function are as follows:
1. The graph is shifted 3/6 units to the left from the parent function.
2. The graph is shifted 1 unit downward from the parent function.
These transformations cause the vertex and axis of symmetry of the given function to differ from that of the parent function.
The vertex of the given function is the point (-3/6, -1), which is found by setting the expression inside the absolute value equal to zero: 6x + 3 = 0, and solving for x.
The axis of symmetry is the vertical line that passes through the vertex, which is the line x = -3/6.
The transformations of the given function are as follows:
1. The graph is shifted 3/6 units to the left from the parent function.
2. The graph is shifted 1 unit downward from the parent function.
These transformations cause the vertex and axis of symmetry of the given function to differ from that of the parent function.
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