Function Families
The parent function and a sketch of the graph of a linear function.
What is f(x)=x ?
The vertex form of an absolute value function, its vertex coordinate point, and its axis of symmetry.
What is
f(x)=aIx-hI+k
V:(h,k)
AoS: x=h
?
The standard form of a quadratic function, the name of its shape, and the formula to identify the axis of symmetry.
What is f(x)=ax2+bx+c and parabola
and
AoS: x=-b/2a
?
All of the transformations that take place in the following function:
f(x)=-1/2(x+4)2-6
The end behavior of the following function:
f(x) = Ix-3I+4
What is
as x->inf, f(x)->inf
and as x->-inf, f(x)->inf?
The absolute value parent function and a sketch of the graph.
What is f(x)=|x| ?
The vertex, domain, range, and rough sketch of the following function:
f(x)=-2IxI+4
What is
V: (0,4)
D:{R}
R:{y I y<=4}
?
The vertex form of a quadratic function, the vertex, and axis of symmetry.
What is f(x)=a(x-h)2+k
(h, k)
x=h
?
The following function converted to vertex form:
f(x)=x2+2x-8
What is f(x)=(x+1)2-9 ?
The increasing and decreasing intervals of the following function:
f(x)=-x2+8x-14
What is
inc (-inf,4)
dec (4,inf)
?
The parent function of a quadratic and a sketch of the graph.
What is f(x)=x2 ?
The parent function of an absolute value equation is transformed. It is vertically compressed by a factor of 1/3, the shifted one unit up and 2 units right.
What is f(x)=1/3 Ix-2I +1 ?
The vertex and range of the function
f(x)=x2+12x+31
and a rough sketch of the shape of this graph.
What is (-6,-5) and {y I y>=5} ?
The following function converted to vertex form:
f(x)=-3x2+12x-7
What is f(x)=-3(x-2)2+5 ?
The end behavior as x approaches positive infinity of the following function:
f(x)=4/3 x+1
What is positive infinity?
The vertex form of an absolute value function that has been shifted up 7 and right 2.
What is f(x)=Ix-2I-7 ?
A graph of the inequality y<-1/2 Ix-4I +8
The vertex coordinate point is identified.
What is V: (4,8)?
The axis of symmetry, range, and rough sketch of the following function:
f(x)=-2(x-4)2+4
What is x=3
R: {y I y<=4}
?
The vertex form of a quadratic equation that is shifted right 4 and reflected across the x-axis.
What is f(x)=-(x-4)2 ?
f(x)=-Ix-hI+k
What is f(x) approaches negative infinity as x approaches positive infinity and negative infinity?
The only function family that we have studied where the parent function has a range of all real numbers.
What is linear?
The vertex of f(x) + 3 = I x+1 I
What is (-1,-3) ?
The graph of the following inequality:
y>3(x-2)2-5
and the vertex coordinate point.
The vertex form of the function f(x)=-x2+8x-7 after it is translated five units down.
What is f(x)=-(x-4)2+4 ?
The interval where the following function is increasing:
f(x)=2(x+3)2-5
What is -3<x<infinity?