Advanced MathVery hardTranslating a graph and reading a value
Advanced Math practice question
The graph of y = g(x) in the xy-plane is the graph of y = x² shifted 3 units left and 2 units up. What is the value of g(−1)?
Answer: 6
g(x) = (x + 3)² + 2. Then g(−1) = (2)² + 2 = 6.
Common wrong answers
- If you answered 2
- 2 is g(−3), the vertex's y-value.
- If you answered 4
- 4 is (−1 + 3)² without the +2.
- If you answered 18
- 18 comes from (−1 − 3)² + 2, shifting right instead of left.
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