Quadratic Functions- Vertex Form

Which graph represents the function f(x) = -x2 + 5?

A

Which function has a range of {y|y ≤ 5}?

f(x) = (x – 4)2 + 5
f(x) = -(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = -(x – 5)2 + 4

B

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

Which graph represents g(x)?

A

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4

A

The graph shows the axis of symmetry for a quadratic function f(x).

Which could be the function?

f(x) = (x + 4)2
f(x) = x2 + 4
f(x) = (x – 4)2
f(x) = x2 – 4

C

The graph of f(x) = x2 is translated to form
g(x) = (x – 2)2 – 3.

Which graph represents g(x)?

A

What is the equation of the translated function, g(x), if
f(x) = x2?

g(x) = (x – 4)2 + 6
g(x) = (x + 6)2 – 4
g(x) = (x – 6)2 – 4
g(x) = (x + 4)2 + 6

D

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)?

g(x) = (x + 7)2 + 5
g(x) = (x – 7)2 + 5
g(x) = (x + 5)2 + 7
g(x) = (x – 5)2 + 7

B

Which function could be represented by the graph on the coordinate plane?

f(x) = (x – 8)2 + 6
f(x) = (x + 8)2 + 6
f(x) = (x + 8)2 – 6
f(x) = (x – 8)2 – 6

D

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

f(x) = (x + 4)2 + 4
f(x) = -(x + 4)2 + 4
f(x) = (x – 4)2 – 4
f(x) = -(x – 4)2 – 4

B

Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?

B

Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing?

A

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

Which graph represents g(x)?

A

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?

4

Which graph represents the function f(x) = (x – 5)2 + 3?

A