8.1a – Graphing f(x) = ax²

Students will graph quadratic functions in standard form with no linear or constant terms and describe their features (A.7A).

8.1b – Graphing f(x) = (ax)²

Students will rewrite and graph quadratic functions where the variable is part of a grouped expression, identifying the transformations (A.7A, A.7C).

8.2 – Graphing f(x) = ax² + c

Students will identify the vertical translation of the graph of a quadratic function and describe how c affects the graph (A.7A, A.7C).

8.3 – Graphing f(x) = ax² + bx + c

Students will graph general quadratic functions in standard form using key features like vertex, axis of symmetry, and intercepts (A.7A, A.7C).

8.4 – Graphing f(x) = a(x − h)² + k

Students will graph quadratic functions in vertex form and describe the effects of a, h, and k on the graph (A.7C).

8.5 – Using Intercept Form

Students will graph quadratic functions in factored form and identify x-intercepts and axis of symmetry (A.7C).

3.7 – Transformations of Graphs of Linear Functions

Students will describe and apply transformations to linear graphs, including shifts and reflections (A.3D).

8.6 – Comparing Linear, Exponential, and Quadratic Functions

Students will compare and contrast key features of linear, exponential, and quadratic functions in real-world contexts (A.9A, A.9C).