Functions
It passes both the Vertical Line Test and Horizontal Line Test
What is a one-to-one function
This is the transformation applied to
f(x)=x^2
if
y=-x^2
What is a reflection over the
x
-axis
This is the equation of the axis of symmetry for a quadratic function
What is
x=-b/(2a)
This is the factorization of
2x^3y+3x^2y^2-9x^2y
What is
x^2y(2x+3y-9)
This is
sqrt(-81)
written in simplest form
What is
9i
This is the y-intercept of
y=abs(2x-4)+7
What is 11 or (0,11)
The equation resulting when
f(x)=abs(x)
is shifted horizontally 5 units to the right and 7 units down
What is
f(x)=abs(x-5)-7
These are the coordinates of the vertex of
f(x)=-2x^2+8x-3
What is
(2,5)
This is the factorization of
x^2-3x-28
What is
(x-7)(x+4)
This is the product of
(3-5i)
and its conjugate
What is 34
This is the inverse of the function
f(x)=3x-5
What is
f^-1(x)=(x+5)/3
These are the transformations to
y=x^2
listed in order if
f(x)=2(x+3)^2+8
What are
1. Horizontal Shift left 3
2. Vertical Stretch by a factor of 2
3. Vertical shift up 8
These are the roots of the quadratic function
f(x)=x^2-2x-8
What are
x=-2
and
x=4
This is the complete factorization of
6x^2+3x-18
What is
3(2x-3)(x+2)
This is
5i^7+2i^16-3i^21
written in
a+bi
form
What is
2-8i
This is the range of
f(x)=-2(x-4)^2-8
What is
(-oo,-8)
If the point (-3,7) lies on the graph of f(x), then this point must lie on the graph of
y=-5f(3x)+20
What is (-1,-15)
This is the interval where
f(x)=-1/2(x-6)^2+17
is strictly decreasing
What is
(6,oo)
This is the complete factorization of
2x^3+x^2-8x-4
What is
(2x+1)(x+2)(x-2)
These are the number and nature of the roots of the quadratic equation
f(x)=2x^2-12x+50
What are 2 imaginary (complex conjugate) roots
This is
f(g(x)
when
f(x)=x^2+3x-4
and
g(x)=2x+1
What is
f(g(x))=4x^2+10x-3
The range for the function
f(x)
is
[-4,10]
If
g(x)=-1/2f(-5x)+2
then the range of g(x) is this.
What is
[-3,4]
This is the parabola
y=3x^2-24x+55
written in vertex form
What is
y=3(x-4)^2+7
These are the exact value solutions to the quadratic equation
What are
x=4/3
and
x=-3/2
This is the solution set to the equation
x^2-3x+9=5x-10
in simplest
a+bi
form
What are
x=4+-isqrt3