General F.
Find the vertex of the graph of f(x) = 3x² + 6x - 10
(-1 , -13)
What is vertex form?
y = a(x - h)2+ k
The invisible vertical line that crosses the vertex.
What is the axis of symmetry?
Relationship between input and output.
What is a function?
Inverse means the ___.
Opposite
What does evaluating the axis of symmetry and plugging the x-value back in give you?
Vertex in General Form.
What do the h & k in f(x)=a(x-h)^2+k tell you?
The vertex.
How do we find the vertex in factored form?
By completing the square
f(x) = - 2 x 2 + 6 x - 3
find f(2)
Substitute x by -2 in the formula of the function and calculate f(-2)
f(-2) = - 2 (-2) 2 + 6 (-2) - 3
f(-2) = -23
Is g(x)=1/2x-2 the inverse of f(x)=2x+4?
Yes
What is General Form?
Ax + By + C
vertex in f(x)=-4(x+3)²-2
(3, -2)
Complete the square: x²+14x-1
(x+7)²-50
Each input has __# output(s).
Each input only has one output.
If h(x)=5-9x find h⁻¹(x)
h(x)=5-9x
y=5-9x
x=5-9y
9y=5-x
y=5-x/9
h⁻¹(x)=5-x/9
The output is the ___ and the input is the ___.
dependant variable, independent variable
f(x)=3-x
y=3-x
y-3=-x
f ⁻¹=-y+3
f ⁻¹=-x+3
The statement one-to-one refers to...?
One output having ONLY one input.
To convert temperatures from Fahrenheit to Celsius we use the formula C=5/9(F-32), How do we convert Celsius to Fahrenheit?
F=9/5C+32