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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

Respuesta :

hnori22003

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[tex]f(x) = 7 {x}^{3} + 4 {x}^{2} - 11[/tex]

Reflection across x-axis

[tex] - (7 {x}^{3} + 4 {x}^{2} - 11) = [/tex]

[tex] - 7 {x}^{3} - 4 {x}^{2} + 11[/tex]

Shift 3 units down

[tex] - 7 {x}^{3} - 4 {x}^{2} + 11 - 3[/tex]

Thus ;

[tex]h(x) = - 7 {x}^{3} - 4 {x}^{2} + 8[/tex]

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The correct answer is Option three .

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