To Graph:
The quadratic function
Answer to Problem 1CT
Solution:
The x-intercept is
The y-intercept is
The vertex of the quadratic function is
The axis of symmetry is
The domain of the function is
The function is decreasing from the interval
The graph of the quadratic function is shown as below:
Explanation of Solution
Given:
The provided quadratic function is
Concept Used:
Vertex
If the quadratic function is of the form
X-intercept
The x-intercept is where a line crosses the x-axis.
Y-intercept
The y-intercept is where a line crosses the y-axis.
Axis of Symmetry:
The axis of symmetry is
Domain:
The domain of the quadratic function is
Calculation:
X-intercept
Substitute the value of
Compare the above equation with general quadratic equation
Use the quadratic formula
The x-intercept is
Y-intercept
Substitute the value of
The y-intercept is
The vertex of the quadratic function is
Therefore, the vertex of the quadratic function is
The axis of symmetry is
1 | |
2 | |
0.5 | |
2.5 |
Graph:
From the graph, we can determine the domain and range of the function.
The domain of the function is
The function is decreasing from the interval
Final Statement:
The x-intercept is
The y-intercept is
The vertex of the quadratic function is
The axis of symmetry is
The domain of the function is
The function is decreasing from the interval
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Chapter 3 Solutions
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