How do you graph y=6x-3
1 answer:
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Answer:
Step-by-step explanation:
we know that
The volume of a trough is equal to
where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to
where
substitute
step 2
Find the volume of a trough
we have
substitute
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.