Algebra 1 Essential Standard 5 LT 13A
LT 13A: I can graph a quadratic function that is written in standard form and factored (intercept) form.
Notes (From Video)
In your graphing calculator, graph the function 𝑦! = 𝑥 " .
Sketch the graph on the grid provided.
This is called the parent function. Its
vertex is at the origin and it crosses
through the coordinate (1,1).
Things to note…
Parabolas are __________________, meaning that you can fold it so the two sides match exactly.
The line that divides the parabola in half is called the _________ ____ _______________ (______).
The ___________ is the point on the parabola that represents the ___________ or ________ value.
________________ Form of a parabola is represented by the equation _______________________.
TO GRAPH A PARABOLA IN STANDARD FORM,
1). Convert to Standard Form
#
2). Find the AOS using the formula 𝑥 = − "$.
2). Evaluate the function at the number you got from step 1.
3). Plot the vertex on the coordinate grid.
4). From the vertex, use the ‘a’ value to determine the next point
5). Locate one additional point using x-substitution and reflect that point over the AOS
Graph the following quadratic functions on the grid provided. Show work to justify the graph.
1. 𝑦 = 𝑥 " − 6𝑥 + 9 2. 𝑦 = −3𝑥 " + 6𝑥 + 5
AOS: ________________ AOS: ________________
Vertex: _______________ Vertex: _______________
LT 13A: I can graph a quadratic function that is written in standard form and factored (intercept) form.
Notes (From Video)
In your graphing calculator, graph the function 𝑦! = 𝑥 " .
Sketch the graph on the grid provided.
This is called the parent function. Its
vertex is at the origin and it crosses
through the coordinate (1,1).
Things to note…
Parabolas are __________________, meaning that you can fold it so the two sides match exactly.
The line that divides the parabola in half is called the _________ ____ _______________ (______).
The ___________ is the point on the parabola that represents the ___________ or ________ value.
________________ Form of a parabola is represented by the equation _______________________.
TO GRAPH A PARABOLA IN STANDARD FORM,
1). Convert to Standard Form
#
2). Find the AOS using the formula 𝑥 = − "$.
2). Evaluate the function at the number you got from step 1.
3). Plot the vertex on the coordinate grid.
4). From the vertex, use the ‘a’ value to determine the next point
5). Locate one additional point using x-substitution and reflect that point over the AOS
Graph the following quadratic functions on the grid provided. Show work to justify the graph.
1. 𝑦 = 𝑥 " − 6𝑥 + 9 2. 𝑦 = −3𝑥 " + 6𝑥 + 5
AOS: ________________ AOS: ________________
Vertex: _______________ Vertex: _______________
