Math Problem Statement

The graph of y = f(x) is shown. Find f(-4).

Solution

To find f(4)f(-4) from the given graph, we need to look at the yy-value corresponding to x=4x = -4.

From the graph:

  • At x=4x = -4, the graph intersects the yy-axis at y=4y = 4.

Thus, f(4)=4f(-4) = 4.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

  1. What is f(2)f(2) based on the graph?
  2. Can you identify the vertex of the parabola from the graph?
  3. How would you determine if the function f(x)f(x) is even or odd from this graph?
  4. What is the equation of the parabola shown in the graph?
  5. What is the domain and range of the function f(x)f(x)?

Tip: The vertex of a parabola is a key point and can help you write its equation in vertex form.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph interpretation
Quadratics

Formulas

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Theorems

Basic properties of functions
Graphical interpretation of functions

Suitable Grade Level

Grades 9-10