Question

How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
O It is translated 1 unit right and compressed vertically by a factor of 3.
OIt is translated 1 unit left and compressed vertically by a factor of 3.
O It is translated 1 unit right and stretched vertically by a factor of 3.
OIt is translated 1 unit left and stretched vertically by a factor of 3.

Answer 1

The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)². It is translated 1 unit left and stretched vertically by a factor of 3.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The graph of the parent function y = x² transformed to produce the graph of y = 3(x+1)²

We need to find how the parent function transformed to produce the graph of y = 3(x+1)².

The parent graph is shifted 1 unit towards the left by the rule of transformation.

$f(x) = f(x+1)$

By applying this rule then,

$y(x) = f(x+1)^2$

Now, the parent function stretched vertically 3 times the previous graph  by the rule

$f(x) = 3f(x)$

Apply this rule then, we get

$y(x) = 3(x+1)^2$

Learn more about transforming functions here:

https://brainly.com/question/17006186

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