Given f (x) = -x2 - 4x +3. a. Evaluate f (-4) and f(-3).
b. Use the intermediate value theorem to show that there exists at least one value of x for which f (x) = 5 on the interval (-4,-3).
c. Find the value(s) of x for which f (x) = 5 on the interval (-4,-3].

4.08%

step-by-step explanation:

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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step-by-step explanation: