3 years ago

Which of the following represents a function that is reflected over the x-axis and shifted up 3

Mathematics

1 answer:

Travka [436]3 years ago

7 0

Answer:

Option 2.

Step-by-step explanation:

f(x) = - x^2 + 3

The parent function is x^2

- the '-' before the x^2 reflects it in the x-axis, and the + 3 shifts it up 3 units.

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Please help me

Kruka [31]

y = x^2 -4x

x = -1

y = (-1)^2 - 4×-1=1+4 = 5

x= 0

y = (0)^2 - 4×0 = 0

x = 1

y = 1^2 -4×1 = 1-4 = -3

x = 2

y = 2^2 -4×2 = 4-8 = -4

x=3

y = 3^2 - 4×3 = 9-12 = -3

x = 4

y = 4^2 - 4×4 = 16 - 16 = 0

now 2nd equation

y = 2x^2 + x

x = -2

y = 2 (-2)^2 + (-2)= 8-2 = 6

x = -1

y = 2 (-1)^2+(-1)= 2-1 = 1

x = 0

y = 2(0)^2 +0 = 0

x = 1

y = 2 (1)^2 + 1 = 3

x = 2

y = 2(2)^2+2= 8 + 2 = 10

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What is the volume of a 3 foot tall cylindrical trash can with a 1 foot radius

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Step-by-step explanation: Volume of a cylinder: $\pi$ r²h

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height= 3 ft

= $\pi$ ×1²×3

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