https://file.aiquickdraw.com/mathbot/file/1726756902193o281zved.jpg

To find the **y-intercept** of the parabola given by the equation \( y = x^2 \), we evaluate the equation at \( x = 0 \). The y-intercept occurs where the graph intersects the y-axis, which is when \( x = 0 \).

\[
y = (0)^2 = 0
\]

Thus, the y-intercept is at \( y = 0 \).

The answer can be written as the integer **0**.

Would you like further details or have any questions?

Here are some related questions:
1. What is the general form of the equation for a parabola?
2. How do you find the x-intercept of the parabola \( y = x^2 \)?
3. What is the vertex of the parabola \( y = x^2 \)?
4. How does changing the coefficient of \( x^2 \) affect the shape of the parabola?
5. How would you find the y-intercept of the equation \( y = ax^2 + bx + c \)?

**Tip**: The y-intercept is always found by substituting \( x = 0 \) into the equation.

Find the y-intercept of the parabola y = x^2. Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Learn how to find the y-intercept of the quadratic function y = x^2. The solution involves evaluating the function at x = 0, making it suitable for students in Grades 7-9 studying quadratic functions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation