16Hit1600
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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