Question

Hep ASAP!

Question:
Identify the function that reflects f(x) = 7x3 + 4x2 − 11 across the x-axis and shifts it 3 units down.
Answers:
h(x) = −7x3 − 4x2 − 14
h(x) = 7x3 + 4x2 + 8
h(x) = −7x3 − 4x2 + 8
h(x) = 7x3 + 4x2 − 14

Answer 1

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`f(x) = 7 {x}^(3) + 4 {x}^(2) - 11`

Reflection across x-axis

`- (7 {x}^(3) + 4 {x}^(2) - 11) =`

`- 7 {x}^(3) - 4 {x}^(2) + 11`

Shift 3 units down

`- 7 {x}^(3) - 4 {x}^(2) + 11 - 3`

Thus ;

`h(x) = - 7 {x}^(3) - 4 {x}^(2) + 8`

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The correct answer is Option three .

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