80570
AssignmentMultiple Choice

Quadratic Functions: Vertex Form

Question 80570 • CUSD Math 01 A (5.0)

Justine graphs the function f(x) = (x – 7)2 – 1. On the same grid, she graphs the function g(x) = (x + 6)2 – 3. Which transformation will map f(x) on to g(x)?

Answer
A
left 13 units, down 2 units
B
right 13 units, down 2 units
C
left 13 units, up 2 units
D
right 13 units, up 2 units

Explanation

The vertex of f(x) = (x − 7)² − 1 is (7, −1), while the vertex of g(x) = (x + 6)² − 3 is (−6, −3). Moving from the first vertex to the second means shifting 13 units left and 2 units down, so the correct choice is “left 13 units, down 2 units.”

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