Answer:
 a) f(x) = x^2
 b, d) see attached
 c) vertical expansion by factor of 2, reflection across the x-axis, translation 1 right and 3 up
Step-by-step explanation:
a)
After you zero the additions and replace the multipliers by 1, you get the parent function of ...
 f(x) = x^2
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b, d)
The attached graph shows the desired functions.
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c)
The subtraction from x represents a right shift. f(x) has been shifted right 1 unit from the parent function.
The addition to the function value represents a shift up. f(x) has been shifted up 3 units from the parent function.
The multiplier of -2 indicates two transformations. The negative sign means the function has been reflected across the x-axis. The magnitude of 2 means the graph has been vertically expanded by a factor of 2.
The transformations are ...
- reflection across the x-axis
- vertical expansion by a factor of 2
- right shift 1 unit
- shift upward 3 units
