Question
Consider the Quadratic function
.
Its vertex is
Its largest
-intercept is
.
Its
-intercept is
Its vertex is
Its largest
Its
Ask by Guzman Chang. in the United States
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The vertex is
, the largest
-intercept is
, and the
-intercept is
.
Solution

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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: