Question

w7a1: transformations of functions assignment
score: 50/100 answered: 5/10
question 6
suppose the graph of ( y = f(x) ) is translated left 1 units, and up 4 units.
the new graph will have equation ( y=)
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Explanation:

Step1: Horizontal translation rule

For a function \(y = f(x)\), a horizontal translation \(h\) units to the left is given by \(y=f(x + h)\). Here \(h = 1\), so the function becomes \(y=f(x+1)\).

Step2: Vertical translation rule

For a function \(y = g(x)\), a vertical translation \(k\) units up is given by \(y=g(x)+k\). Since \(g(x)=f(x + 1)\) and \(k = 4\), the new function is \(y=f(x + 1)+4\).

Answer:

\(y=f(x + 1)+4\)