Answer: choice A
f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2
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The coefficient in front of the x^2 term tells us how wide or narrow the parabola will be. It turns out that the further the coefficient value is from 0, in either direction, this will make the parabola more narrow.
Notice how 1/4 = 0.25 which is less than |-0.5| = 0.5 meaning that f(x) = (1/4)x^2 is wider than f(x) = -0.5x^2
Then comparing f(x) = -0.5x^2 to f(x) = 1x^2, we see that 0.5 is smaller than 1, so f(x) = -0.5x^2 is wider than f(x) = 1x^2
That is why the order from widest to narrowest is f(x) = (1/4)x^2, f(x) = -0.5x^2, f(x) = x^2
A graph shown below helps confirm the answer (note the color coding). In figure 1 is the graph of all three functions together. In figure 2, I reflect the second function help show the comparison of why it's the middle-most in terms of how wide it is (it is the orange parabola, which is the reflection of the red parabola)
The conclusion is that both gym charge the same, because the identity 75 = 75 means that the two equations are equivalent (the same).
Using the given linear function, it is found that the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- x represents the number of traffic tickets.
- y represents the cost of car insurance.
The function is:
Hence the slope is of 73, which means that for each traffic ticket, the cost of car insurance increases by $73.
You can learn more about linear functions at brainly.com/question/25823744
Answer:
for #1 it's 1, 4, 5, 6
for #2 it's both lines have the same slope
for #3 it's both lines have a different y-intercept
Step-by-step explanation:
#1 explanation: all of them have the y-intercept of -8
ex. y = 3x (- 8) y = 5x (-8) y = 2x (-8) y = (1/3)x (-8)
#2 explanation: both have a slope of (1/4)
#3 explanation: y = (1/4)x there is not y-intercept that we know of and y = (1/4)x - 5 the y-intercept is at -5 therefore the y-intercepts are different
Answer:
1. Standard form
2. Vertex form
3. Intercept form
Step-by-step explanation:
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