Quadratic Functions: Vertex Form Answers
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1
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The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)?
A
g(x) = (x + 7)2 + 5B
g(x) = (x – 7)2 + 5C
g(x) = (x + 5)2 + 7D
g(x) = (x – 5)2 + 72
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Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
A
On a coordinate plane, a vertical dashed line at (negative 2, 0) is parallel to the y-axis.
B
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to the y-axis.
C
On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis.
D
On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis.
3
What value represents the horizontal translation from the graph of the parent function f(x) = x2 to the graph of the function g(x)=(x−4)2+2?
A
−4B
−2C
2D
44
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
A
g(x) = (x + 9)2 + 4B
g(x) = (x + 9)2 − 4C
g(x) = (x − 4)2 + 9D
g(x) = (x + 4)2 + 9Did you find these answers helpful?
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