Concept explainers
To Write the quadratic function in standard form and sketch its graph.
Identify the vertex, axis of symmetry and x-intercept.
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Explanation of Solution
Given:
The function is
Formula used:
- The x coordinate of vertex and the axis of symmetry can be given as,
- The x-intercept can be calculated by substituting y value zero.
Calculation:
Consider,
Standard form of quadratic function is given as,
Comparing the coefficient of equation (2) and (3),
The x coordinate of vertex can be given as,
Substitute the value of x in the function,
So, the axis of symmetry can be calculated as,
Substitute
The graph of the above equations is given below,
Therefore, the vertex, axis of symmetry and x-intercept are
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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