Question

The function f(x) = -x + 2 can be formed by
shifting the function y = -2/3x in which way?

A. vertical shift up 2
B. reflection over the x-axis
C. vertical shift down 2
D. horizontal shift to the left 2

Please Show the Work & thank u

Answer 1

Hello! The function f(x) = -x + 2 can be formed by shifting the function y = -2/3x vertically up by 2 units.

To see this, let's compare the two functions:

f(x) = -x + 2

y = -2/3x

If we set y = f(x), we get:

y = -x + 2

To transform y = -2/3x into this form, we need to shift the graph of y = -2/3x up by 2 units. This is equivalent to adding 2 to the y-value of each point on the graph.

Therefore, the correct answer is A: vertical shift up 2.

Please give me brainliest for more high quality answers! - longstretch

Answer 2

Answer:

• A) vertical shift up 2

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The difference of the functions is:

• f(x) - y =
• - 2/3x + 2 - (- 2/3x) =
• 2

The difference between functions is positive, therefore it is a vertical shift up by 2 units.