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2 years ago

Choose the function that correctly identifies the transformation of f(x) = x2 shifted four units right and seven units down.

Mathematics

2 answers:

mr_godi [17]2 years ago

8 0

<span>g(x) = (x - 4)2 - 7

Hope it helps! Please mark as brainliest!
</span>

Phantasy [73]2 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

The parent quadratic function is,

$f(x)=x^2$

The transformation is defined as

$g(x)=(x+a)^2+b$ ....(1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0,then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0,then the graph shifts b units down.

It is given that f(x) shifted four units right and seven units down. It means a=-4 and b=-7.

Substitute a=-4 and b=-7 in equation (1).

$g(x)=(x-4)^2-7$

The required function is $g(x)=(x-4)^2-7$ .

Therefore the correct option is A.

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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