Quadratic Functions: Vertex Form Quiz

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

(-8,infinity)

Sanjay begins to correctly graph the function f(x) = (x + 1)2 - 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay's?

C

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x - 2)2 + 3? right 2, up 3 left 2, down 3 right 2, down 3 left 2, up 3

right 2, up 3

What value represents the vertical translation from the graph of the parent function f(x)=x2 to the graph of the function g(x)=(x+5)2+3? −5 −3 3 5

3

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

A

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

A

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

B

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

f(x) = (x - 4)2

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

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

What is the equation of the translated function, g(x), iff(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

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