Math Problem Statement

solve thios

solve thios

Solution

From the graph provided, we are examining the y-intercept of the curve. The y-intercept is where the graph crosses the y-axis, meaning the x-coordinate is 00.

Observations:

  1. The graph clearly crosses the y-axis at the point (0,8)(0, -8).
  2. This is the only point where the graph intersects the y-axis.

Answer:

The graph has 1 y-intercept.

Would you like a more detailed explanation or have any other questions?


Related Questions:

  1. What is the x-intercept of the graph shown?
  2. Can a quadratic graph have more than one y-intercept? Why or why not?
  3. How does the vertex of a parabola relate to its intercepts?
  4. Can the y-intercept ever equal the x-intercept of a graph?
  5. How would changing the constant term of a quadratic equation affect the y-intercept?

Tip:

The y-intercept of a function can always be found by substituting x=0x = 0 into the equation of the function.

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Math Problem Analysis

Mathematical Concepts

Graphing
Y-Intercept
Coordinate Geometry

Formulas

The y-intercept occurs where x = 0

Theorems

The definition of the y-intercept

Suitable Grade Level

Grades 6-8