Let f(x)=3x2-2 wrote a function g whose graph is a reflection in the y axis of the graph of f

1 answer:

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9514 1404 393

Answer:

g(x) = 3x^2 -2

Step-by-step explanation:

Reflection in the y-axis replaces x with -x.

g(x) = f(-x) = 3(-x)^2 -2

g(x) = 3x^2 -2

_____

The given function is symmetrical about the y-axis, so its reflection is itself.

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xz_007 [3.2K]

Answer:

Part A

Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)

Part B

Two figures are congruent if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.

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Answer: 4 times

Step-by-step explanation:

2.50 x 4 = 10

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