Math Problem Statement

easy words and keep it short

Find f(5), f(8), and the points where f(x) = 1 from the parabola shown.

Solution

The graph shows a parabola, and the question asks for the values of f(5)f(5), f(8)f(8), and where f(x)=1f(x) = 1.

1. Find f(5)f(5) and f(8)f(8):

  • f(5)f(5): From the graph, when x=5x = 5, the y-coordinate is approximately 2.
  • f(8)f(8): When x=8x = 8, the y-coordinate is approximately -2.

2. Solve f(x)=1f(x) = 1:

  • The graph shows that f(x)=1f(x) = 1 at two points, around x=2x = 2 and x=6.5x = 6.5.

Would you like more details or have any other questions?

Related Questions:

  1. What is the vertex form of a parabola, and how can we find it?
  2. How do you determine the axis of symmetry from a parabolic graph?
  3. How can we derive the equation of a parabola given its graph?
  4. What does the y-intercept represent on a graph?
  5. How do you find the x-intercepts (roots) of a quadratic function?

Tip: Always check values on a graph carefully; slight errors can affect answers.

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Math Problem Analysis

Mathematical Concepts

Graph Interpretation
Quadratic Functions
Algebra

Formulas

f(x) = ax^2 + bx + c (quadratic function)

Theorems

Quadratic Function Roots
Vertex Theorem

Suitable Grade Level

Grades 9-11