Answer:
The vertex is (−3, −1), the domain is all real numbers, and the range is y ≤ −1
Step-by-step explanation:
f(x) = −2(x + 3)^2 − 1
The vertex form is
f(x) = a ( x-h) ^2 + k where ( h,k) is the vertex
f(x) = −2(x - -3)^2 − 1
The vertex is ( -3,-1) is the vertex
The domain is the values that x can take and x can take all real numbers
The vertex is the maximum since a is negative so the range is all values less than -1
y ≤ −1
Answer is B if it isn’t I’m sorry
Answer:
A. y = 0.5(2)^x
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y
= 0
.
Horizontal Asymptote:
y
= 0
Y = -2x + 5 y =3x - 2
Since both equations are equal to 'y' you can set them equal to each other to solve.
-2x + 5 = 3x - 2 Subtract 3x from both sides
-5x + 5 = -2 Subtract 5 from both sides
-5x = -7 Divide -5 on both sides
x = 7/5
Plug 7/5 back in for x and solve for y.
y = -2(7/5) + 5
y = (-14/5) + (25/5)
y = 11/5
(7/5, 11/5) OR (1.4, 2.2)
