Answer:
zeroes: x = -9 and x = -7
Step-by-step explanation:
f(x)=(x+8)^2−1
A "zero" refers to when the y-value on the graph is zero.
0 = (x+8)^2 - 1
1 = (x+8)^2
+ or - 1 = x+8
so break them apart into two equations
x+8 = 1 OR x+8 = -1
x = -7 OR x = -9
You can plug both back in to check that the equation works!
Answer:
y = 5 cos ((2π/3)x - 2) + 2
Step-by-step explanation:
Cosine function takes a general form of y = A cos (Bx + C) + D
Where
A is the amplitude
2π/B is the period
C is the phase shift ( if -C, then phase shift right, if +C phase shift left)
D is the vertical displacement (+D is above and -D is below)
Given the conditions of the function to build and the general form, we can write:
** Note: period needs to be 3, so 2π/B = 3, hence B = 2π/3
Now we can write:
y = 5 cos ((2π/3)x - 2) + 2
first answer choice is right.
If you can't see the picture the answer is: (y+4)(y+2).
Hope this helps, and May the Force Be With You!
-Jabba
Answer:
It is B. hyperbola, 45 degrees.
SteIt is p-by-step explanation:
If we rotate the standard form x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.
xy = -2.5 comes from x^2 - y^2 = -5 being rotated 45 degrees.