Math Problem Statement
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 .
Looking at the graph, the curve crosses the y-axis at .
Thus, the y-intercept is:
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:
- How do you find the x-intercepts of a quadratic function?
- What is the general form of a quadratic equation?
- How do you calculate the vertex of a parabola?
- What is the axis of symmetry in this parabola?
- 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