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4 years ago

Identify the vertical shift maximum and minimum values of each function

Mathematics

1 answer:

miskamm [114]4 years ago

7 0

ANSWER

Vertical shift: 3 units up.

Maximum value:5

Minimum value:1

EXPLANATION

The given function is

$y = 2 \cos(3x) + 3$

The vertical shift is 3 units up.

The maximum value is 2+3=5.

The minimum value is -2+3=1.

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Solve using the substitution method. x + 2y = 9 x + 3y = 13

Rasek [7]

x + 2y = 9

x + 3y = 13

____________________________________________________________

Solve for x in the first equation. Subtract 2y from both sides.

x = 9 - 2y

____________________________________________________________

Plug x into the second equation.

(9 - 2y) + 3y = 13

Combine like terms.

9 + y = 13

Subtract 9 from both sides.

y = 4

____________________________________________________________

Plug y back into the first equation.

x + 2(4) = 9

x + 8 = 9

Subtract 8 from both sides.

x = 1

____________________________________________________________

x = 1

y = 4

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Papessa [141]

Answer:

A (Wrong)

B (Correct)

C (Wrong)

D (Wrong)

Step-by-step explanation:

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