Question
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Consider the Quadratic function .
Its vertex is
Its largest -intercept is .
Its -intercept is

Ask by Guzman Chang. in the United States
Mar 16,2025

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Answer

The vertex is , the largest -intercept is , and the -intercept is .

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The Deep Dive

The vertex of the quadratic function can be found using the vertex formula . Here, and , giving us . To find the corresponding -coordinate, substitute back into the function. The vertex is at .
Next, to find the largest -intercept, we can use the quadratic formula given by . Plugging in values here gives us two -intercepts: and . The largest is .
Lastly, to find the -intercept, we evaluate the function at : . So the -intercept is .
In summary:
  • Vertex:
  • Largest -intercept:
  • -intercept:

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