Concept explainers
To find: the equation in standard form and identify the vertex, axis of symmetry and direction of opening of the parabola.
Answer to Problem 9.5EP
At
Explanation of Solution
Given:
Concept used:
Vertex Is lowest point if parabola open upward.
Similarly, vertex is maximum point if parabola open downward.
The axis of symmetry is a line that reflects the parabola around, and its symmetric.
If the sign of coefficient of the
Vertex of the
Calculation:
Here the direction of the parabola will open upward since the sign of coefficient of the
Therefore, the point or vertex will be minimum.
The axis of symmetry can measure as:
Compare the given Equation:
So, the symmetry will be at
The axis symmetry of the given equation will be at
Vertex of the parabola can be solved as:
By completing the square:
Here at
Or
Vertex of the quadratic equation
Here
Putting in vertex of the equation.
Hence, at
Chapter SH Solutions
Glencoe Algebra 2 Student Edition C2014
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