Vertex Form
Standard Form
Factored Form
Complex Numbers
Domain/Range/Max/Min
100
Describe the transformation:
y=-(x+7)^2-2
Opens down, Left 7, Down 2
100
How is the Standard Form of a quadratic function written?
y=ax^2+bx+c
100
Factor:
x^2+8x+7
(x+7)(x+1)
100
True or False?
sqrt-1=i
True
100
What is the DOMAIN of any quadratic formula?
(-oo,oo) or RR
200
Function g is a transformation of the parent function, f(x)=x2, of a parabola. The graph of g is a translation right 8 units and up 4 units of the graph of f. What is the equation of function f written in vertex form.
g(x)=(x-8)^2+4
200
Find the axis of symmetry (h):
y=-3x^2+24x-5
h=4 so axis of symmetry is x=4
200
Factor:
x^2-49
(x+7)(x-7)
200
Solve for x.
x^2=-18
+-3isqrt2
200
State Domain and Range and Max/Min:
D: (-oo,oo) or RR
R: [-9,oo) or y>=-9
min
300
What is the vertex of the function?
y=(x-4)^2+3
(4,3)
300
Find the axis of symmetry (h):
f(x)=x^2-7
h=0 so the axis of symmetry is x=0
300
Factor:
-x^2+7x-10
-(x-2)(x-5)
300
Simplify:
(4+5i)-(6-2i)
-2+7i
300
State Domain and Range and Max/Min:
D: (-oo,oo) or RR
R: (-oo,1] or y<=1
max
400
Write the equation of a parabola in vertex form:
Vertex= (5,7) passing through (-2,1)
y=-6/49(x-5)^2-7
400
Find the vertex:
y=2x^2-12x+4
(3,-14)
400
Solve by factoring:
4x^2-4x=8
(4x+4)(x-2)=0 therefore x=-1 and x=2
400
Simplify:
(2+i)(-5+3i)
-13-i
400
What are the domain and range of the function:
g(x)=-3/4(x-5)^2+7
D: All real numbers
R:
y>=7
500
Write the equation of a parabola in vertex form:
Vertex= (-2,6) passing through (0,4)
y=-1/2(x+2)^2+6
500
Find the vertex:
y=-x^2+18x-3
(9,6)
500
Identify the zeros (solve by factoring):
2x^2+2x-4=0
(2x+4)(x-1)=0 therefore x=-2 and x=1
500
Simplify:
14/(1+2i)
(14-28i)/5
500
What are the Domain and Range of the function:
y=2(x-4)^2-7
D: All real numbers
R:
y>=-7