Intro to y = a(x-p)^2 + q

Alberta Grade 11 / 20-1 aligned

Relations & Fucntions

Specific Outcome 3: Analyze quadratic functions of the form y = a(x – p)^2 + q and determine the: 

• vertex 
• domain and range 
• direction of opening 
• axis of symmetry 
• x– and y–intercepts. 

[CN, R, T, V] 

[ICT: C6–4.3, C7–4.2] 

Specific Outcome 4: Analyze quadratic functions of the form y=ax^2+bx+c to identify characteristics of the corresponding graph, including:

• vertex
• domain and range
• direction of opening
• axis of symmetry
• x- and y-intercepts

and to solve problems.

[CN, PS, R, T, V] 

[ICT: C6–4.1, C6–4.3]

Students will explore the effect of a, p, and q on graphs in standard form and vertex form.