An exponential parent function is the option C. f(x)= 
, from the given options.
What do you mean by exponential parent function?
The formula for their parent function is y = 
, where b is any non zero constant. Below is a graph of the parent function, y = 
, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.
According to options in the given question,
We have the option below in the given question:
A. f(x) = 2^x – 3 
B. f(x) = 2^x + 2 
C. f(x) = 2^x 
D. f(x) = 2^x + 1/3
We know from the above definition that the option C. is the right answer to the given question.
Therefore, the exponential parent function is f(x)= .
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You don't have the graph icon here, so we'll have to graph this parabola without it.
Your parabola is y = -x^2 + 3., which resembles y = a(x-h)^2 + k. We can tell immediately that this parabola opens down and that the vertex is (0,3).
Plot (0,3). Besides being the vertex, this point is also the max. of the function.
Now calculate four more points. Choose four arbitrary x-values, such as {-2, 1, 4, 5} and find the y value for each one. Plot the resulting four points. Draw a smooth curve thru them, remembering (again) that the vertex is at (0,3) and that the parabola opens down.
Answer:
Total displacement = 0 blocks
Step-by-step explanation:
Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.
The distance traveled by Johnny from his house to his friends house = 4 blocks
Then he immediately returns to his house, so the total distance then covered = 4 blocks
Total distance traveled = 4 + 4
= 8 blocks
But the initial position of Johnny is his house and the final position of Johnny is also his house
Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.
⇒ Total displacement = 0 blocks
