which steps will translate f(x) = 3x to g(x) = 3x 1 4? shift f(x) = 3x one unit up and four units to the right. shift f(x) = 3x one unit up and four units to the left. shift f(x) = 3x one unit to the right and four units up. shift f(x) = 3x one unit to the left and four units up

Verified Answer :

W0lf93

The expression for g(x) is wrong, you skipped some signs and, apparentely, some parentheses.

The rigtht expression for g(x) should be g(x) = 3(x+1) + 4.

Note that g(x) = 3(x+1) + 4 it is the same that f(x+1) + 4.

When you add a number to the argument, the graph of function is shifted that number of units to the left; and when you add a number to the function the graph shifts that number of units up.

Therefore, the steps that will translate f(x) = 3x to g(x) = 3(x+1) + 4 is shift f(x) one unit to the left and four units up.

The correct steps that will translate \(f(x)=3x \ to \ g(x) = (3x+1)+4\) is one unit to the right and four units up

What is Translation and transformation?

Given the function h(x) = (3x+1)+4

The parent function is 3x.

For the expression 3x+1, this shows that the parent function translated 1 unit to the right.

Get the statement for the translation

For the function (3x+1)+4, there is a translation of one unit to the right and four units up

Hence the correct steps that will translate \(f(x)=3x \ to \ g(x) = (3x+1)+4\) is one unit to the right and four units up

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