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3 years ago

Find the equation of the axis of symmetry of the following parabola algebraically.

Mathematics

1 answer:

Sonja [21]3 years ago

4 0

Answer:

x = 1

Step-by-step explanation:

y = 2x² − 4x − 14

y = 2 (x² − 2x) − 14

y = 2 (x² − 2x + 1) − 14 − 2(1)

y = 2 (x − 1)² − 16

The vertex of the parabola is at (1, -16). So the equation of the line of symmetry is x = 1.

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(a) As time increases, the amount of water in the pool increases.

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From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

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