Math Problem Statement

Find h(-1).

Solution

To find h(1)h(-1), we need to look at the graph of the function h(x)h(x) provided in the image.

  1. Locate the point where x=1x = -1 on the horizontal axis (x-axis).
  2. From x=1x = -1, trace vertically to the corresponding value of h(x)h(x) on the graph.

After looking at the graph:

  • At x=1x = -1, the value of h(x)h(x) seems to be 66.

Thus, h(1)=6h(-1) = 6.

Would you like further details on the solution or have any additional questions?

Here are some related questions to further your understanding:

  1. How do we find the value of a function from a graph?
  2. What is the significance of the vertex in a parabolic graph like this?
  3. How can we describe the shape and direction of the parabola for the function h(x)h(x)?
  4. What are some common transformations that affect the graph of a quadratic function?
  5. How would you solve g(1)g(-1) using the formula for g(x)=x+2g(x) = x + 2?

Tip: When reading values from a graph, ensure you're interpreting the axes and scales correctly to avoid mistakes with small changes.

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Math Problem Analysis

Mathematical Concepts

Graph interpretation
Function evaluation

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9