Quadratics
This point represents the minimum or maximum value of a quadratic equation
What is the vertex?
f(x) = x + 1
g(x) = x + 2
(f+g)(x) =
What is
2x+ 3
Inverse of
y = x+2
What is
y = x-2
If
f(x) = 5^x
then
f(3) =
What is
125
Exponential form of
log_2 8 = 3
What is
2^3 = 8
This line cuts the parabola in half.
What is the Line of Symmetry or Axis of Symmetry?
f(x) = x + 1
g(x) = 2x + 3
(f-g)(x) =
What is
-x-2
Inverse of
y = 6x
What is
y = 1/6x
If
f(x) = pi^x
then
f(0) =
What is
1
Logarithmic form of
3^4=81
What is
log_3 81 = 4
The zeros of
f(x) = (x+3)(x-2)
What are
-3 and 2
f(x) = x + 1
g(x) = x + 2
(f*g)(2) =
What is
12
The graph of a relation and its inverse are symmetric with regard to this line.
What is the line
y = x
If
f(x) = 6^x
then
f(-2) =
What is
1/36
Solves
log_2 512
What is
9
The axis of symmetry for
f(x) = 2x^2-8x+12
What is
x=2
f(x) = x^2 - 1
g(x) = x + 3
f(g(x)) =
What is
x^2+6x+8
This test can help you determine if the inverse of a function is also a function.
What is the horizontal line test?
A simplified version of
(2x^2y^3)^2/(4x^2y^6)^(1/2)
What is
(4x^4y^6)/(2xy^3) = 2x^3y^3
Solves
log_3 (1/27)
What is
-3
The vertex of
f(x) = 1/2(x+7)^2 - 5
What is
(-7, -5)
f(x) = 2x^2 - 1
g(x) = 2x
f(g(x))=
What is
8x^2-1
The inverse of
y = sqrt(x+3)
What is
y = x^2-3; x>=0
A simplified version of
(2x^-2y^3)^-2/(4x^2y^-6)^(-1/2)
What is
(4x^2y^-6)^(1/2)/(2x^-2y^3)^2=(2xy^-3)/(4x^-4y^6)=x^5/(2y^9)
This function shifts
f(x) = log_4 x
two units to the right and three units down.
What is
g(x) = log_4 (x-2)-3