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Graph f(x)=−|x+4|−3.

User INeelPatel
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1 Answer

4 votes

Answer:

Explanation:

Graph f(x)=−|x+4|−3.

make me the graph

To graph the function f(x) = -|x + 4| - 3, we can follow a step-by-step process.

Step 1: Identify the parent function

The parent function for this equation is f(x) = |x|.

Step 2: Shift the parent function horizontally

The equation f(x) = |x + 4| shifts the graph of the parent function horizontally to the left by 4 units. This means that all x-values will be reduced by 4.

Step 3: Reflect the graph vertically

The negative sign in front of the absolute value function reflects the graph vertically. This means that the y-values will be negated.

Step 4: Shift the graph vertically

The equation f(x) = -|x + 4| - 3 shifts the graph vertically downward by 3 units. This means that all y-values will be reduced by 3.

Starting with the graph of the parent function f(x) = |x|, we can apply these transformations:

Shift the graph horizontally to the left: f(x) = |x + 4|

Reflect the graph vertically: f(x) = -|x + 4|

Shift the graph vertically downward: f(x) = -|x + 4| - 3

Here is the graph of the function f(x) = -|x + 4| - 3:

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Please note that the graph of the function is a V-shaped graph opening downward, shifted 4 units to the left, and 3 units downward from the parent function.

User Alton
by
8.8k points

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