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The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents g(x)?

User Merian
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2 Answers

0 votes

Answer:

It would be Option: A on Edge.

Explanation:

User Optical Phoenix
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5 votes

Answer:

See attached picture

Explanation:

When functions are transformed there are a few simple rules:

• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).

• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).

• Multiplying the function by a number less than 1 compresses it towards the x-axis.

• Multiplying the function by a number greater than 1 stretches it away from the x-axis.

The equation for g has been subtracted inside the parenthesis by 2 which will shift the graph 2 units to the right.

The equation for g has also been subtracted outside the parenthesis by 3 which will shift the graph 3 units down.

The graph is shown in black while f(x) is show in purple in the attached picture.

The graph of f(x) = x2 is translated to form g(x) = (x – 2)2 – 3. Which graph represents-example-1
User Can Gencer
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