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.