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dolphi86 [110]
2 years ago
13

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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