Answer:
D. (x+2)(-8x+70)
Step-by-step explanation:
-8x^2+54x+140
Factor out -2
-2(4x^2+27x+70)
Factor
-2(x+2)(4x-35)
Option D is the same answer if we multiply -2 in the second term
(x+2) (-8x+70)
I believe the correct answer from the choices listed above is option D. The graph <span>G(x) as compared to the graph of F(x) would be that the </span><span>graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down. 2 is a stretch factor and -5 is the shift downwards of the graph. Hope this answers the question.</span>
Answer:
1/6
Step-by-step explanation:
Answer: B. g(x) = |x| - 5
Step-by-step explanation: To translate an absolute value graph (|x|) you have to subtract 5 from the absolute value from the equation |x| but not from the value x. For example, if you did g(x) = |x - 5| then you would get a graph that is moved 5 spaces to the right. This is not what we want. Likewise if we did g(x) = |x + 5| then we would get a graph moved 5 spaces to the left. This is not what we want either.
To get a translated graph that moves down the y-axis (vertical axis), we have to subtract the equation |x| 5 units. This then moves it down 5 units to the y axis from the center.
