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Concept explainers
To Find:
Whether Chase and Jade are correct or not. Explain.
![Check Mark](/static/check-mark.png)
Answer to Problem 69HP
Chase is wrong and Jade is correct.
Explanation of Solution
Given Information:
Chase and Jade are finding the axis of symmetry of a parabola.
Concept Used :
- Quadratic Functions:
- Quadratic functions are non-linear and are of the form:
This is the standard form of Quadratic function.
- Shape of the graph of a Quadratic function is called Parabola.
- Parabolas are symmetric about a central line called Axis Of Symmetry.
- The axis of symmetry intersects a parabola only at one point , called the Vertex.
- Axis of Symmetry: Passes through the vertex and divides the parabola into two congruent halves.
Calculation:
We calculate the axis of symmetry for the equation :
Comparing it with the standard form of
We have , a = -1 ,b = -4 , c = 6
Axis of symmetry
So, Jade is correct.
Chase is wrong since he has taken b = 4 instead of -4.
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