Translation by h (right) and k (up)
g(x)=f(x-h)+k
=f(x-4)^2+2
so h=4, k=2
horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.
"Interpret the rate of change and the y-intercept.
"
Rate of change is 5. Each ticket costs 5$.
Y-intercept is (0,-17). They spent $17 on supplies before they sold tickets.
(Sorry, you probably already know the answer)
Answer:
10.6 miles
Step-by-step explanation:
The corner where Starbucks is located could be considered to be the right angle in a right triangle having legs of 8 miles (distance to you) and 7 miles (distance to your friend). The straight-line distance (d) from you to your friend is the hypotenuse of that triangle. Its length can be found from the Pythagorean theorem.
d² = 8² +7²
d² = 64 +49 = 113
d = √113 ≈ 10.6
You and your friend are about 10.6 miles from each other.
x²+y²-2x-6y-5=0
x²-2x+y²-6y=5
x²-2x+1+y²-6y+9=5+1+9
(x-1)²+(y-3)²=15
(x-1)²+(y-3)²=(V15)²
-> centre of the circle: C(-1,-3)
-> radius of the circle: V15
