Math Problem Statement
Solution
From the graph provided, we need to solve for two things:
-
Find :
To find , locate on the x-axis and check the corresponding value of (the y-coordinate of the graph at ).From the graph, at , the corresponding point on the parabola is .
Therefore, . -
Find such that :
To find where , we look at where the graph intersects the line .The graph intersects the horizontal line at two points: and .
Therefore, the values of such that are and .
Summary:
- and when .
Would you like more details or have any further questions?
Here are some related questions to deepen your understanding:
- What is the vertex of the parabola shown in the graph?
- Can you determine the axis of symmetry from the graph?
- How would you write the equation of the parabola based on the graph?
- What is the maximum or minimum value of from the graph?
- If represents a real-world scenario, how could you interpret ?
Tip: When reading values from a graph, be sure to check both the x and y coordinates carefully to avoid mistakes.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Quadratic Functions
Graph Interpretation
Formulas
-
Theorems
Intersection of a quadratic function and horizontal line
Suitable Grade Level
Grades 7-9