How to graph a side-way parabola

TL;DR

Learn how to graph a sideways parabola using the standard form equation and find the vertex, y-intercept, and key points.

Transcript

okay we're going to graph this equation X is equal to negative y squared plus 4y as we can see we have the X by itself and we have this Y raised to the second power right there for the graph it's going to be a sideways parabola and notice that this right here it's in the standard form and let me write it down for you guys the standard form of the s... Read More

Key Insights

• 💁 The sideways parabola is graphed using the standard form equation.
• ❓ The vertex of the parabola can be found using the vertex formula.
• 🤗 A negative A value in the equation indicates a parabola that opens to the left.
• 🌆 Setting x=0 helps find the y-intercept points on the graph.
• 😀 The y-intercept points can be found by solving the equation for y when x=0.
• 🥘 The vertex and y-intercept points allow for sketching the parabola.
• 💁 Additional information can be obtained by understanding the relationship between the equation and the graph.

Questions & Answers

Q: How do you graph a sideways parabola?

To graph a sideways parabola, you need to use the standard form equation and find the vertex, which can be calculated using the vertex formula (-B/2A).

Q: What does a negative A value in the equation indicate?

A negative A value in the equation of a sideways parabola means that the parabola opens to the left.

Q: How do you find the y-intercept?

To find the y-intercept, set x=0 in the equation and solve for y.

Q: Can you explain the process of finding the y-intercept in more detail?

By setting x=0 in the equation, you can factor out y and solve for the two values of y that will give you the y-intercept points.

Summary & Key Takeaways

• The video explains how to graph a sideways parabola using the equation in standard form.

• The vertex formula is used to find the vertex of the parabola.

• The y-intercept is calculated by setting x=0, and key points on the graph are determined.