How are quadratic equations different from linear equations?

Mathematics

1 answer:

worty [1.4K]2 years ago

3 0

The fundamental difference between the linear and quadratic functions is observed in their respective graphs. A linear function is represented by a straight line and a quadratic function is represented by a curve called a parabola.

See file attached.

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Lubov Fominskaja [6]

1) The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.

2) The curve depicts an monotonous decrecent rate of change.

3) The amplitude is directly proportional to the root square of the energy.

<h3>How to analyze a graph relationship between two variables</h3>

In this question we have a relationship between two variables, in which we must apply principles of functional analysis to respond three questions presented in the statement.

Now we proceed to answer the three questions below:

What is on the x-axis? The y-axis? R/ The x-axis represents the energy ( $E$ ), in joules. The y-axis represents the amplitude ( $x$ ), in milimeters.
How would you describe the rate of change of the line? R/ The curve depicts an monotonous decrecent rate of change, that is, the slope converges to zero when the energy tends to infinite.
What does this tell you about the relationship between amplitude and energy? R/ The curve show a strong similarity with a function of the form $x = A\cdot \sqrt{E}$ . Hence, the amplitude is directly proportional to the root square of the energy.