Math Problem Statement

What is the y-intercept?

Solution

The graph shows a parabola opening upwards, and you're asked to find the y-intercept.

The y-intercept of a graph is the point where the curve crosses the y-axis. For a parabola, this occurs when x=0x = 0.

Looking at the graph, the curve crosses the y-axis at y=10y = -10.

Thus, the y-intercept is:

y=10y = -10

Would you like further details on how to find y-intercepts or explore any other concepts?

Here are 5 related questions you might find interesting:

  1. How do you find the x-intercepts of a quadratic function?
  2. What is the general form of a quadratic equation?
  3. How do you calculate the vertex of a parabola?
  4. What is the axis of symmetry in this parabola?
  5. How can you determine if a parabola opens upwards or downwards?

Tip: The vertex form of a parabola is useful for quickly identifying the vertex and direction of the curve!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Graph Interpretation

Formulas

y = ax^2 + bx + c
The y-intercept occurs when x = 0

Theorems

The y-intercept of a function is the point where the graph crosses the y-axis

Suitable Grade Level

Grades 8-10