Access Point #: MAFS.912.F-BF.2.AP.3a (Archived Access Point)


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Write or select the graph that represents a defined change in the function (e.g., recognize the effect of changing k on the corresponding graph).

Clarifications:

Essential Understandings

Concrete:

  • Identify the y-intercept on a graph.
  • Given the graph of the new and parent functions, describe the change when k is introduced.
  • Use graphing software to discriminate between skinny and wide graphs (k f(x)).
  • Use graphing software to discriminate directionality (right/left) (f(x + k) ) (up/down) f(x) + k.
Representation:
  • Identify the y-intercept in a function.
  • Identify k in a function (f(x) = x + 5), k = 5.
  • Given a graphic template, predict the changes k will have on the function.
  • Describe the effects k has on a given equation.
  • Understand the coordinate plane.
  • Understand related vocabulary (y-intercept, y-axis, x-axis, function, positive, negative, k, translation, function, stretch, shrink, quadratic function, exponential function).

Number: MAFS.912.F-BF.2.AP.3a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Build new functions from existing functions. (Algebra 1 - Additional Cluster) (Algebra 2 - Additional Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.F-BF.2.3: Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.




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