Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
1 answer:
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
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The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
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Answer:
B
Step-by-step explanation:
The compound interest formula is where:
- P is the starting amount called the principle
- r is the rat written as a decimal
- n is the number of times compounded in a year
- t is the number of years
Substitute a value into each variable to solve.
- P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
- The rate is 3.5% or r = 0.035.
- n = 12 because it is compounded monthly meaning 12 times a year.
- t = 25 since it will earn for 25 years.
Repeat this process for each formula.
Answer:
<em>x = 2</em>
Step-by-step explanation:
<u>Exponential Equations</u>
Solve:
Separate each exponential:
Operating:
Multiplying by 5:
Rearranging:
Recall that:
Calling
Factoring:
There are two possible solutions:
y=25
y=-50
Since
y cannot be negative, thus:
The solution is:
x = 2
Answer: The graph is shifted to the right by 5 units and shifted up from the parent function.
Step-by-step explanation:
1. By definition, a parent function is the simplest form of a function.
2. You have the following parent function given in the problem:
2. The function g(x) is obtained from the function f(x)
Where the subtraction of 5 indicates the horizotanl shift to the left and the addition of 2 indicates the vertical shift up.
3. Therefore, keeping the information above on mind, you can conclude that the answer is: the graph is shifted to the right by 5 units and shifted up from the parent function.