Math Problem Statement
y=2(x−1)(x+2) y-intercept
Solution
To find the y-intercept of the function , we need to determine the value of when .
-
Substitute into the equation:
-
Simplify the expression:
Therefore, the y-intercept is , or the point .
Would you like further details on intercepts or have any questions?
Here are some related questions:
- What are the x-intercepts of the function ?
- How would the graph of look?
- How does changing the coefficient affect the y-intercept?
- How do we find intercepts for more complex polynomial functions?
- What other points on the graph are easy to calculate manually?
Tip: The y-intercept of any function can be found by substituting into the equation and solving for .
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Intercepts
Formulas
y-intercept of a function at x = 0
Theorems
Definition of y-intercept in function graphs
Suitable Grade Level
Grades 8-10