Quadratic Functions: Vertex Form Quiz

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

NOT 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

NOT b

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 −2 2 4

NOT c

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

The graph of f(x) = x2 is translated to formg(x) = (x - 2)2 - 3.

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

b

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

c