Answers26MATH_Recovery_Alg1B22Quadratic Functions: Vertex Form

Quadratic Functions: Vertex Form Answers

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The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.Which graph represents g(x)?

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A
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
Option D
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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
−4
B
−2
C
2
D
4
3

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.
Option A
B
On a coordinate plane, a vertical dashed line at (2, 0) is parallel to the y-axis.
Option B
C
On a coordinate plane, a vertical dashed line at (negative 1, 0) is parallel to the y-axis.
Option C
D
On a coordinate plane, a vertical dashed line at (1, 0) is parallel to the y-axis.
Option D
4

The graph of which function is decreasing over the interval (–4, ∞)?

A
f(x) = (x + 4)2 + 4
B
f(x) = –(x + 4)2 + 4
C
f(x) = (x – 4)2 – 4
D
f(x) = –(x – 4)2 – 4

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