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Graphing Using Transformations

4.11.6 Graphing Using Transformations

4.11.6 • Graphing Using Transformations

Cool Down

For questions 1 – 4, match each equation of the linear functions with one of the lines in the given graph.

Graph of four functions where the orange line has a y-intercept at 3 and slope of 2, the baby blue line has a y-intercept at 3 and slope of one-half, the blue line has a y-intercept at 3 and slope of negative 2, and the green line has a y-intercept at negative 3 and slope of 2.
1.

f ( x ) = 2 x + 3 f ( x ) = 2 x + 3

Compare your answer:

I

2.

g ( x ) = 2 x − 3 g ( x ) = 2 x − 3

Compare your answer:

III

3.

h ( x ) = − 2 x + 3 h ( x ) = − 2 x + 3

Compare your answer:

IV

4.

j ( x ) = 1 2 x + 3 j ( x ) = 1 2 x + 3

Compare your answer:

II

5.

How will the graph of k(x) = x k(x) = x be affected if the transformation k(x−3) k(x−3) is applied?

The graph will be shifted 3 units to the right. This happens because the transformation k(x−3)k(x−3) moves the graph horizontally to the right by 3 units.