(a)
To determine : The equation in standard form for given parabola.
The equation in standard form for given parabola is
Given information :
The graph of a cubic polynomial in the ZDecimal window, which is
The graph resembles a parabola with vertex
Explanation :
The equation of parabola that opens up with vertex
(b)
To determine : The equation of a line in slope-intercept form through
The required equation of line is
Given information :
The graph of a cubic polynomial in the ZDecimal window, which is
The equation in standard form for given parabola is
Formula used:
The equation of line in slope intercept form is given by:
Explanation :
The slope is
The equation of line in slope intercept form is:
To obtain the cubic function, multiply the linear function with the quadratic function.
The graph of the cubic function is given below:
The zeros of the cubic function are
Therefore, the required equation of line is
(c)
To determine : The function and its graph.
The required equation is
Given information :
The graph of a cubic polynomial in the ZDecimal window, which is
The equation in standard form for given parabola is
Explanation :
The y-intercept of
To change the y-intercept to
So, the required cubic function will be
Therefore, the required equation is
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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