Which transformations are needed to transform the graph of y = f(x) to g(x) = -f(x - 1) + 3

Mathematics

1 answer:

love history [14]2 years ago

7 0

<h2>Explanation:</h2>

Lets's solve this step by step. Here we have a function:

$y=f(x)$

So:

Step 1. Reflection across the x-axis:

$y=-f(x)$

Step 2. Shifting 1 unit to the right

$y=-f(x-1)$

Step 3. Shifting 3 unit up

$y=-f(x-1)+3$

Finally:

$g(x)=-f(x-1)+3$

So <em>the graph of f has been reflected across the x-axis, shifted 1 unit to the right and 3 units up to become the graph of g.</em>

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