Matemática Anos 10–12

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Which transformation maps the graph of y = f(x) to y = f(x - 3) + 2?

A Translate 3 units left and 2 units down

B Translate 3 units left and 2 units up

C Translate 3 units right and 2 units up

D Translate 3 units right and 2 units down

The graph of y = f(x) is shown. If the graph is reflected in the y-axis, which equation represents the new graph?

A y = f(-x)

B y = -f(x)

C y = f(x - 1)

D y = f(x) + 1

The function y = f(x) has a minimum point at (2, -1). What are the coordinates of the minimum point after the transformation y = 3f(x) - 4?

A (2, -3)

B (2, -7)

C (6, -7)

D (6, -3)

Which sequence of transformations maps the graph of y = x^2 to y = -(x + 2)^2 + 1?

A Reflect in the x-axis, then translate 2 units left and 1 unit up

B Reflect in the x-axis, then translate 2 units left and 1 unit down

C Reflect in the x-axis, then translate 2 units right and 1 unit up

D Reflect in the y-axis, then translate 2 units left and 1 unit up

The graph of y = f(x) is stretched vertically by a factor of 2 and then translated 3 units to the right. Which equation represents the transformed graph?

A y = 2f(x - 3)

B y = 2f(x) - 3

C y = f(2(x - 3))

D y = f(2x - 3)

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