Answer:
The answer is<u><em> B) g(x) is shift 5 units to the right and 2 units up from f(x).</em></u>
Step-by-step explanation:
The equation that is given in this item can be written for clarity as follows:
g(x) = 1/(x - 5) + 2
It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.
Answer: y = 0.5x + 35
Step-by-step explanation:
let x represent the number of minutes used by the customer in a month.
Let y represent the monthly cost for x minutes.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (435 - 215)/(800 - 360)
m = 220/440 = 0.5
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 360, y = 215 and m = 0.5 into y = mx + c. It becomes
215 = 0.5 × 360 + c
215 = 180 + c
c = 215 - 180
c = 35
The equation becomes
y = 0.5x + 35
They are equal. It was explained above
Answer:
(x+2)^2 + (y+2)^2 = 36
Step-by-step explanation:
The equation for a circle is
(x-h)^2 + (y+k)^2 = r^2
Where h is the x coord of the center, j is the y coord of the center, and r is the radius.