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.

Move the graph down by $4$4 units.

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

Interpret the effects transformations have on functions and find the inverses of functions.

Translate a polynomial, exponential, or logarithmic function from one representation of a function to another (graph, table, and equation).

Identify or describe the effect of changing parameters within a family of functions (e.g., y = x^2 and y = x^2 +3 ,or y = x^2 and y = 3x^2).