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Test
Math
Domain
Advanced Math
Skill
Nonlinear functions
Difficulty
Hard
ID: d135f4bf
Modded SAT Question Bank by Abdullah Mallik

The function f is defined by fx=x-6x-2x+6. In the xy-plane, the graph of y=gx is the result of translating the graph of y=fx up 4 units. What is the value of g0?


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Correct Answer: 76
Rationale

The correct answer is 76. It's given that the graph of y=gx is the result of translating the graph of y=fx up 4 units in the xy-plane. It follows that the graph of y=gx is the same as the graph of y=fx+4. Substituting gx for y in the equation y=fx+4 yields gx=fx+4. It's given that fx=x-6x-2x+6. Substituting x-6x-2x+6 for fx in the equation gx=fx+4 yields gx=x-6x-2x+6+4. Substituting 0 for x in this equation yields g0=0-60-20+6+4, or g0=76. Thus, the value of g0 is 76.

Question Difficulty: Hard
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