belle200163

20.02.2020 • 

Mathematics

The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function?

On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1).
y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2
y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2
y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3
y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

Ответ:

akemble8862

19.01.2022

Mathematics

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The equation is:

Explanation:

The absolute value function is f(x) = |x|.

The vertex of the absolute value function is (0,0). That is its minimum point.

The vertex of the given function is (-3, -2).

That means that the graph of f(x) = |x| was translated 3 units to the left and 2 units downward.

A translation of 3 units to the left and 2 units downward tranforms f(x) into g(x) =  f(x + 3) - 2

Then, the new function will be: g(x) = |x + 3| - 2.

You can prove that that equation represents the three given points:

g(-3) = |-3 + 3| -  2 = 0 - 2 = - 2 ⇒ (-3, - 2) g(-5) = |-5 + 3} - 2 = 2 - 2 = 0 ⇒ (-5,0)  g(-1) = |-1 + 3| - 2 = 2 - 2 = 0 ⇒(-1, 0) g(0) = |0 + 3| - 2 = 3 - 2 = 1 ⇒ (0, 1) ConclusionThe equation is    

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Ответ:

iamsecond235p318rq

11.12.2022

Mathematics

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serach xxx

Step-by-step explanation:

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