Math Problem Statement
What are the coordinates of the vertex of the parabola shown in the graph?
Solution
The given graph is a parabola that opens upwards. The vertex of a parabola is its lowest or highest point.
From the image, the vertex is located at the point where the curve reaches its minimum. Observing the graph, the vertex is at .
Answer:
The coordinates of the vertex are .
Would you like a detailed explanation on how to determine the vertex of a quadratic function?
Related Questions:
- How do you find the vertex of a quadratic function algebraically?
- What is the general form of a quadratic equation?
- How do you determine if a parabola opens upward or downward?
- How do you convert a quadratic equation from standard form to vertex form?
- What is the significance of the axis of symmetry in a parabola?
Tip:
The vertex of a quadratic function in standard form is found using the formula . Then, substitute into the equation to find .
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Vertex of a Parabola
Formulas
x = -b/(2a) for the vertex of a quadratic function in standard form
Theorems
Vertex Formula Theorem
Suitable Grade Level
Grades 7-9