Math Problem Statement

Using the graph of f(x) below, evaluate f(-2).

Solution

To evaluate f(2)f(-2) using the graph:

  1. Locate x=2x = -2 on the horizontal axis (the xx-axis).
  2. Move vertically from x=2x = -2 to the curve of the function.
  3. From the point where the curve intersects, move horizontally to the yy-axis to read the corresponding yy-value.

From the graph, at x=2x = -2, the corresponding yy-value is approximately 44. Therefore: f(2)=4f(-2) = 4

Let me know if you'd like further explanation!

Here are 5 related questions:

  1. What is the value of f(0)f(0) based on this graph?
  2. What is the vertex of the parabola shown in the graph?
  3. How can you tell if a function is increasing or decreasing from a graph?
  4. How do you determine the axis of symmetry of the parabola in this graph?
  5. What is the general form of a quadratic function that could describe this graph?

Tip: The vertex of a parabola can help you understand key points such as the minimum or maximum value of the function!

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Functions
Graph Interpretation

Formulas

-

Theorems

Graph of a Parabola

Suitable Grade Level

Grades 8-10