Different Forms
Vertex Form
Standard Form
Factored Form
Graph
100
This equation is in __________________ form.
f(x) = x2-6x+5
Standard form
100
Vertex form tells us this key feature.
vertex
100
Standard form tells us this key feature.
y-intercept
100
Factored form tell us this key feature.
x-intercepts
100
What is the y-intercept?
(0,3)
200
This equation is in _______________ form.
f(x)=-3(x-3)(2x+1)
factored/intercept form
200
What is the vertex of this function?
f(x) = -(x-1)2+10
(1,10)
200
What is the y-intercept?
f(x) = 3x2-7x+1
(0,1)
200
What are the x-intercepts of this equation?
f(x) = (x+3)(x-7)
(-3,0) and (7,0)
200
What are the x-intercepts?
(1,0) and (3,0)
300
This equation is in _________________ form.
f(x) = -4+3(x-2)2
vertex form
300
What is the vertex of this function?
f(x)= -14+3(x+2)2
(-2,-14)
300
Rewrite the equation in standard form.
f(x)= 4x-9-x2
f(x) = -x2+4x-9
300
What are the x-intercepts of this equation?
f(x) = -(2x+4)(3x-9)
(-2,0) and (3,0)
300
What is the vertex and axis of symmetry?
(2,-1) and x=2
400
This equation opens ______.
f(x)= -2(x+3)(x+7)
down
400
What is the axis of symmetry of this quadratic?
f(x)= -(x+5)2-3
x=-5
400
Rewrite the equation in standard form.
f(x) = (x+1)(3x-2)
f(x) = 3x2+x-2
400
What is the axis of symmetry of this quadratic?
f(x) = -(x-5)(x+3)
x=1
400
What are the increasing/decreasing intervals?
increasing: (2, oo )
decreasing: (-oo , 2)
500
This quadratic would have a _______________ (max/min).
f(x)= -4+x2-9x
minimum
500
What is the y-intercept of this equation?
f(x) = 2(x+2)2-4
(0,4)
500
Rewrite the equation in standard form, then find the y-intercept.
f(x)=-2(x+3)(x+5)
f(x)=-2x2-16x-30
y-intercept: (0,-30)
500
What is the vertex of this quadratic?
f(x) = -(x-6)(x+2)
(2,16)
500
What is the domain and range?
domain: ( -oo,oo )
range: [-1, oo )