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2.22 Function families and transformations

Interactive practice questions

How do we shift the graph of $y=f\left(x\right)$y=f(x) to get the graph of $y=f\left(x\right)+4$y=f(x)+4?

Move the graph up by $4$4 units.

A

Move the graph down by $4$4 units.

B
Easy
< 1min

How do we shift the graph of $y=g\left(x\right)$y=g(x) to get the graph of $y=g\left(x+6\right)$y=g(x+6)?

Easy
< 1min

Consider the equation $y=4x$y=4x.

Easy
< 1min

The function $y=-5x^2$y=5x2 has what dilation factor?

Easy
< 1min
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Outcomes

F.BF.B.3

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 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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