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1.02 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

A2.BF.A.3

Describe the effects of transformations algebraically and graphically, creating vertical and horizontal translations, vertical and horizontal reflections and dilations (expansions/compressions) for linear, quadratic, cubic, square and cube root, absolute value, exponential and logarithmic functions.

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