4 ∈ {4, 14, 17} is this true or false
1 answer:
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Answer:
Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.
Step-by-step explanation:
Given:
Parent function is given as:
Transformed function is given as:
Now, let us transform to
in steps.
1. First we will multiply 2 to 'f(x)'. So,
This stretches the function in the y direction by a factor of 2.
2. Now, we multiply the 'x' value of the above transformed function by -1.
This reflects the function over the y-axis.
3. Now, we add 9 to the 'x' value of the above function.
Adding a positive number 9 to 'x' value shifts the graph to left by 9 units.
So, the complete transformation is:
Stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.