What effect does the "a" value have on the function f(x)=log(x)
1 answer:
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Answer:
You can see the graph below.
To answer the question, you need to draw a vertical line from x = 12h up, until the line meets with the line.
Once the line meets with the line, draw a horizontal line from that point, and the value where this line intersects with the y-axis will be the distance from home after 12 hours.
The graph is kinda hard to read because the line is really steep, the green line is the equation y = 40*x
the red line is a line at x = 12
The black dashed line is the horizontal line that intersects with the y-axis.
In the graph, you can see that the dashed line intersects the y-axis at around y = 475.
Then a good estimate is that the distance after 12 hours is 475 (miles).
Now, we can compare this with the direct calculation, just replace x by 12 in the given line:
y = 40*12 = 480.
So our estimation is really accurate.
Answer:
Step-by-step explanation:
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m =
m =
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
