Math Problem Statement

Identify the vertex of the function graphed below.

Solution

The graph you provided shows a parabola, which opens upwards. The vertex is the lowest point of the parabola. Looking at the graph, the vertex appears to be at the point (1,4)(-1, -4). This means the correct answer is (1,4)(-1, -4).

Would you like further details on how to find the vertex of a parabola?

Here are five related questions you might want to explore:

  1. How can you find the vertex of a quadratic function algebraically?
  2. What is the vertex form of a quadratic equation?
  3. How can we determine whether a parabola opens upwards or downwards?
  4. What is the significance of the axis of symmetry in a parabola?
  5. How do you determine if the vertex is a maximum or a minimum point?

Tip: The vertex of a parabola given by y=ax2+bx+cy = ax^2 + bx + c can be found using the formula (b2a,f(b2a))\left( -\frac{b}{2a}, f\left( -\frac{b}{2a} \right) \right).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graphing Parabolas

Formulas

Vertex formula for a parabola: (h, k)
Standard form of a quadratic equation: y = ax^2 + bx + c

Theorems

Properties of Parabolas

Suitable Grade Level

Grades 8-10