Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, .
- Reflection over the x-axis, hence the function is multiplied by -1, that is, .
- Shift down, hence a constant b is subtracted from the graph, that is, .
You can learn more about translation concepts at brainly.com/question/21197885
The answer of this is 0 8 inches
10. The compass length (3 inches) represents the radius of the circle that is about to be drawn.
We know an equation for the area of a circle is pi x r^2
So lets use that equation
A (circle) = pi x 3^2 = pi x 9 = 28.3 square inches
and 11 is one fourth
Answer:
12x-15
Step-by-step explanation:
A triangle has 3 sides
An equilateral triangle has 3 sides that are all the same length
The perimeter of a triangle is
P = s1+s2+s3
P = 4x-4 + 4x-5+4x-5
Combine like terms
P = 12x -15
Answer:
- height: 48.6 ft
- time in air: 3.4 s
Step-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
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The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
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The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.