f(x)=y=√x looks something like this:
(4,2)
(9,3)
(16,4)
Whilst your graph is much higher slope, for lack of better term
Rules of transformation
f(x)+b - function is shifted b units upward (up y-axis)
f(x)-b - function is shifted b units downward (down y-axis)
f(x+b) - function is shifted b units to the left (negative x-axis)
f(x-b) - function is shifted b units to the right (positive x-axis)
-f(x) - function is reflected over x-axis
f(-x) - function is reflected over y-axis
bf(x) - vertical stretch for |b| > 1, vertical shrink for 0< |b| <1
f(bx) - horizontal shrink for |b| > 1, horizontal stretch for 0< |b| <1
**INVALIDATE my answer, as statements were given 10 mins after posted**
Answer:
i think it is a
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation:
The x-intercept is the point where the graph touches the x-axis, which means y=0. So let's set y=0 in your equation, and we receive
(x-5)^2 + (0+12)^ = 169
which means
(x-5)^2 = 25
Solve this, and get x=10 or x=0.
This means the x-intercepts are (10,0) and (0,0).
Try doing the same for y.
A) Because the 80 is by itself that would be the start up fee.
B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.
C) Copying the same format as the given equation above, change the numbers:
f(x) = 20 + 35x
D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).
E) Replace x in each equation with 8 and calculate the cost of each:
80 + 30(8) = 80 + 240 = $320
20 + 35(8) = 20 + 280 = $300
The second club (club B) is the cheaper option for her.
