Can someone please check my answer for this?

The question: Consider one type of nonlinear equation. What unique quality does it possess, and how does that quality cause the graph’s unique shape? Identify an example of this shape in a real-world situation.

My answer: An exponential has the variable in the exponent, causing the y to grow or decay increasingly quickly or increasing slowly
Real-world example banks use interest, over months or years...each time the interest is applied, it is applied to a new and bigger total and quadratic has a squared term...causing the shape of a parabola, a U shape because both positive and negative x's squared end up being the same number. In real-world situation, a quadratic could be used to track the height of a launched object.

Seriously I'm not asking for answers! I'm just looking for someone to look over my answer so I can get this right it takes 5 minutes!

nevermind I got it thanks for nothing!

Your answer provides a good explanation of two types of nonlinear equations: exponential and quadratic.

For the first part of the question, you correctly identified that exponentials have the variable in the exponent. This unique quality causes the y-values to grow or decay increasingly quickly or slowly, depending on whether the base of the exponential is greater than or less than 1. Therefore, the graph of an exponential equation will have a unique shape that shows either exponential growth or decay.

You also mentioned a real-world example of an exponential equation by referring to banks using interest over months or years. As time progresses, the interest is applied to a new and bigger total, leading to exponential growth in the account balance.

Moving on to the second part of the question, you talked about quadratic equations. You accurately stated that quadratic equations have a squared term, which contributes to the shape of a parabola. The graph of a quadratic equation forms a U shape due to the symmetry between positive and negative x-values when squared.

Additionally, you provided a real-world example for a quadratic equation by mentioning tracking the height of a launched object. The height of a launched object follows a parabolic trajectory, reaching a maximum height and then coming back down.

Overall, your answer demonstrates a good understanding of the unique qualities and shapes of exponential and quadratic equations, along with relevant real-world examples.