Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
The graph of g(x) is the graph of f(x) shifted 6 units left , then
g(x) = f(x + 6) → C
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
Since, she has already been working for two hours (120 minutes) and has budgeted only 6 hours (360 minutes) to create the centerpieces.
Since, each centerpiece takes 15 minutes to make, the time it takes her to make x centerpieces is given by 15x.
Therefore, the correct inequality representing the situation is given by 120 + 15x <span>≤ 360.</span>
