Learning Activities (1) |

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**Standard(s): **
[MA2019] AL1-19 (9-12) 23 :

[MA2015] ALT (9-12) 34 :

23. Identify the effect on the graph of replacing *f(x) by f(x)+k,k·f(x), f(k·x),* 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 explain the effects on the graph, using technology as appropriate. **Limit to linear, quadratic, exponential, absolute value, and linear piecewise functions.**

[MA2015] AL2 (9-12) 34 : 34 ) 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.
[F-BF3]

[MA2015] ALT (9-12) 34 :

34 ) 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.
[F-BF3]

This learning activity Let's Experiment With Graphs of Functions Using Technology! will be used during a lesson on identifying 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 using technology, finding the value of k given the graphs, and recognizing even and odd functions from their graphs and algebraic expressions for them.

*This activity results from the ALEX Resource Development Summit.*