Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly
membership fee. The equation y=60x+30
y=60x+30 represents what Health Club B charges. Health Club A charges a $50 sign-up fee and $27 per month.
y=60x+30 represents what Health Club B charges. Health Club A charges a $50 sign-up fee and $27 per month.
1 answer:
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+ y = -1 ⇒ y =
- 1
To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope by counting up 1 and to the right 3 of the y-intercept. This gives you a second point of (3. 0). Draw a line through those two coordinates.
Answer: Plot (0, -1) and (3, 0) and draw a line through them.
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y = 4 + ⇒ y =
+ 4
Same as above. Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).
Answer: Plot (0, 4) and (3, 5) and draw a line through them.
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You should end up with two PARALLEL lines. Since the lines never intersect, there are no solutions to this system of equations.
Answer: No Solution
The equation of the new function is
Explanation:
The Parent function is
We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.
The function transformation formula is given by
Where a stretches the function vertically
b compresses or stretches it horizontally,
c shifts the function left or right
d shifts the function up or down
Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.
Hence, and
Substituting these values in the formula, we have,
Thus, the equation of the new function is