https://file.aiquickdraw.com/mathbot/file/17258977157461m7s7kga.jpg

The question **8.1** asks to state the equation of the axis of symmetry of \( f(x) = ax^2 + bx + c \).

For a quadratic function \( f(x) = ax^2 + bx + c \), the axis of symmetry can be determined using the formula for the x-coordinate of the vertex of the parabola:

\[
x = -\frac{b}{2a}
\]

Thus, the equation of the axis of symmetry is:

\[
x = -\frac{b}{2a}
\]

In this case, since the graph and the exact values of \( a \) and \( b \) are not given directly in the image, you would apply this general formula to find the axis of symmetry for the specific quadratic function \( f(x) \) when \( a \) and \( b \) are known.

Would you like further details or explanations on how to find these values? 

Here are five related questions:
1. How can we find the values of \( a \) and \( b \) from a graph?
2. What role does the axis of symmetry play in a quadratic function?
3. How does changing \( a \) affect the axis of symmetry?
4. What is the significance of the axis of symmetry in vertex form?
5. Can you explain the relationship between the vertex and the axis of symmetry?

**Tip**: When working with quadratic functions, always remember that the axis of symmetry helps identify the point where the function has either its maximum or minimum value.

8.1 State the equation of the axis of symmetry of f.

Learn how to find the equation of the axis of symmetry for a quadratic function using the formula x = -b / 2a. This algebraic problem covers key concepts including quadratic equations and their graphical representations. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation