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dem82 [27]
3 years ago
14

The function p is defined as p(x)=x2+4x-12

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Given the function p(x)=x^2+4x-12.

Part A.

To write the expression that defines p(x-6)+5, you have to substitute x-6 instead of x into the function expression and then add 5 to the function:

p(x-6)+5=((x-6)^2+4(x-6)+12)+5,\\\\p(x-6)+5=x^2-12x+36+4x-24+12+5,\\\\p(x-6)+5=x^2-8x+29.

Part B.

1 transformation is translation 6 units to the right (p(x-6) determines this transfromation).

2 transformation is translation 5 units up (+5 determines this transformation).

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See below.

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