What is the area formula for trapezoid
1 answer:
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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)
Answer:
Step-by-step explanation:
The exponential function h, represented in the table, can be written as
From table, at x=0, h(x) =10
Put theses values in equation,, we get
Also, for x= 1 , h(x) = 4, so put these values and a=10 in the equation , we get
Put value of a and b in the equation ,
→ Required equation.