Concept explainers
To find:The x - and y -intercepts of the graph of the circle
Answer to Problem 34E
Thex -intercept is
Explanation of Solution
Given information:
The equation of the circle is
Calculation:
x -intercept is defined as the point where the graph of an equation crosses the x -axis.
y -intercept is defined as the point where the graph of an equation crosses the y -axis.
To calculate the x -intercept, substitute
Therefore, the x -interceptis
To calculate the y -intercept, substitute
Compare the equation with the general quadratic equation
Apply quadratic formula to calculate the values of
Substitute the values in the above formula.
Therefore, the y -intercepts are
Draw the graph for the circle.
From the graph, it is clear that the x -intercept is
Therefore, the x -intercept is
Chapter 9 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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