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Julian graphs the function f(x)= 2x + 5. He then moves the graph down 8 units to create the function g(x). Create an equation g(x) represents.

Sagot :

To translate vertically a function we make the transformation:

[tex]f(x)+c[/tex]

where c is the number of units we want it to move. If c is positive then we move the function up, whereas if c is negative we move the function down.

Then in this case we have that c=-8, then the function g would be:

[tex]\begin{gathered} g(x)=(2x+5)-8 \\ g(x)=2x-3 \end{gathered}[/tex]

Therefore:

[tex]g(x)=2x-3[/tex]

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