The answer is B. -3 ________
He first two are relatively easy. f(x-2) shifts it sideways (2 to the right in this case) f(x) -2 shifts it straight down (by 2)
f(2x) means replace x with 2x in the original 4(2x + 1)^2 − 3 if you factor out the 2 from the square root you get 4*sqr(2) ( x + ½)^2 - 3 which is now in the form a ( x -h)^2 + k the vertex is now at (-½, -3) (it used to be at (-1,-3) the "a" has gotten bigger, which makes the parabola "skinnier" (it goes up faster)
2•f(x) becomes 2*( 4(x + 1)2 − 3 ) = 8 (x+1)^2 -6 where is the vertex now? is this parabola fatter or skinnier than the original f(x) ?
Using the equation of the proportional relationship:
Average rate of speed = 60
Time taken to go 300 miles = 5 hrs
Distance travelled in 2.5 hrs = 150 miles
<h3>What is a Equation of a Proportional Relationship?</h3>
A equation of a proportional relationship models the relationship between two variables, x and y, that has a constant of k. It is expressed as y = kx.
Given the following:
Equation: d = 60t
d = distance in miles
t = time in hours
Average rate of speed for the bus = k = 60
Time (t) it would take to go 300 miles (d):
300 = 60(t)
300/60 = t
t = 5 hours
Distance (d) it would travel in 2.5 hours (t):
d = 60(2.5)
d = 150 miles
Learn more about the equation of a proportional relationship on:
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Answer:
(-5,5)
Step-by-step explanation:
if you replace x and y with the numbers, the answer will be true.