Concept explainers
To find: The graph is upward or downward and find the axis of symmetry and intercept.
Answer to Problem 2CR
The parabola is open upward, the vertex
Explanation of Solution
Given information:
Calculation: We know that if the leading coefficient is getter than zero then parabola opens upward if less than it’s open downward.
So, clearly the parabola open upward.
Now, the vertex form of a quadratic function is,
Use completing the square method to convert
Now,
So,
Comparing
Here, The vertex is
X-intercept,
Hence, The X-intercepts is
Y-intercept,
Let,
Now,
Hence, The Y-intercept is
Hence, The parabola is open upward, the vertex
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