(a)
To Find: The comparison of the graph of the function to the parent function.
(a)
Answer to Problem 79SR
The graph opens downward and it is narrower than the parent function and the vertex is
Explanation of Solution
Given:
The water lands 3 feet away from the jet.
The given graph is shown in Figure 1
Figure 1
Calculation:
The graph shows that the vertex of the parabola is (1,8) and then use the parabola form to solve the required result
Consider the graph passes through the point (3,0). Thus, substitute the values in the parabola form as,
Then, the required function is,
The graph for the above function is shown in Figure 2
Figure 2
Since, the graph opens downward and it is narrower than the parent function and the vertex is
(b)
To Find: The new quadratic function for
(b)
Answer to Problem 79SR
The graph shifts upward 4.5 ft. and 3 in to the right.
Explanation of Solution
Given:
The stream height is increased by 12.5 feet at the distance of 15 inches from the jet.
The water lands 3.75 feet from the jet.
Calculation:
Consider the part of the vertex is at
The graph for the above function is shown in Figure 3
Figure 3
Thus, the graph shifts upward 4.5 ft. and 3 in to the right.
Chapter 5 Solutions
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