Answer: The car travels 97.5 miles in 1.5 hour.
Step-by-step explanation:
Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation , where represents the distance, in miles, that the car travels at this speed in<em> t</em> hours.
To find : Number of miles car travel in 1.5 hour.
Simply put t= 1.5 in the given expression , we get
65(1.5)= 97.5
That means , the car travels 97.5 miles in 1.5 hour.
Option A: It is vertically stretched
Option B: it is shifted down
Solution:
The exponential function undergoes two transformations to
.
<u>To determine how the graph changes:</u>
Consider the given exponential function .
Let y = f(x)
Vertically compressed or stretched:
A vertically compression (stretched) of a graph is compressing the graph toward x-axis.
• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.
• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
Here, k = 5
So the graph will be vertically stretched.
Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.
So, The graph is shifted down.
Hence option A and option B is the correct answer.
