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Tcecarenko [31]
3 years ago
13

How is the graph of y=3(x+1)^2 related to its parent function y=x^2

Mathematics
2 answers:
vesna_86 [32]3 years ago
6 0

Answer:

D. Translated 1 unit to the left and vertically stretched by a factor of 3.

Step-by-step explanation:

We are given the parent function, y=x^2.

It is transformed to the function, y=3(x+1)^2.

As we know,

<em>Translation shifts the function in any direction.</em>

<em>Dilation stretches or shrinks the function along the axis.</em>

From the function, we can see that,

The parent function y=x^2 is translated 1 unit to the left and vertically stretched by a factor of 3 to obtain the new function.

Hence, option D is correct.

creativ13 [48]3 years ago
3 0
The parent function is y = x^2

There is a compression of 3:

y = 3x^2

There is a shift by 1 unit to the left:

y = 3(x + 1)^2
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