Concept explainers
(a)
To graph: The quadratic function
(a)
Explanation of Solution
Graph:
Consider the general quadratic function in standard form.
Here,
Now, consider the function,
Here,
Then, the graph for the function
(b)
To graph: The quadratic function
(b)
Explanation of Solution
Graph:
Consider the function,
Here,
Then, the graph for the function
(c)
To graph: The quadratic function
(c)
Explanation of Solution
Graph:
Now, consider the function,
Here,
Then, the graph for the function
(d)
To graph: The quadratic function
(d)
Explanation of Solution
Graph:
Now, consider the function,
Here,
Then, the graph for the function
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Chapter 3 Solutions
EBK COLLEGE ALGEBRA
- Sketching Graphs of Quadratic Functions In Exercises 9-12, sketch the graph of each quadratic function and compare it with the graph of y=x2. (a)fx=12x2(b)gx=18x2(c)hx=32x2(d)kx=3x2arrow_forwardUsing Standard Form to Graph a Parabola In Exercises 13-26, write the quadratic function in standard form and sketch its graph. Identify the vertex, axis of symmetry, and x-intercept(s). g(x)=x2+2x+1arrow_forwardWriting a Quadratic Function In Exercises 37-46, write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. Vertex:52,0;point:72,163arrow_forward