Connections Between The Three Units
There are many connections between the units because it is important to know all the different ways to express a quadratic relation.
Vertex to standard form:
You have to expand and collect like terms.
Factored to standard form:
You have to expand and collect like terms.
Vertex to factored form:
Find the x-intercepts by making y=0.
Standard to factored form:
You have to factor and simplify as much as possible.
Factored to vertex form:
Find the axis of symmetry, then sub it in to find the y-coordinate of the vertex.
Standard to vertex form:
Complete the square.
This is how you turn each form and turn it into a different form. This helps when you are given a problem and you need to check the answer or if you think it is easier to work in any of the three forms.
Vertex to standard form:
You have to expand and collect like terms.
Factored to standard form:
You have to expand and collect like terms.
Vertex to factored form:
Find the x-intercepts by making y=0.
Standard to factored form:
You have to factor and simplify as much as possible.
Factored to vertex form:
Find the axis of symmetry, then sub it in to find the y-coordinate of the vertex.
Standard to vertex form:
Complete the square.
This is how you turn each form and turn it into a different form. This helps when you are given a problem and you need to check the answer or if you think it is easier to work in any of the three forms.