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What is the equation of the graph [tex]y=x^3[/tex] under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertical translation 4 units down?

a.) [tex]y=2(x+3)^3+4[/tex]
b.) [tex]y=2(x-3)^3+4[/tex]
c.) [tex]y=2(x+3)^3-4[/tex]
d.) [tex]y=2(x-3)^3-4[/tex]

What is the equation of the graph texyx3tex under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertica class=

Respuesta :

MathPhys

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4

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