Graph the following linear equations f(x) = x g(x) = (x + 2) -3 2(h(x)); h(x) = x-1 (Multiply the entire function by 2 before gr
aphing) d(x) = 1/2x +2 Describe in words the following transformations f(x) —›g(x) f(x) —›h(x) f(x) —›d(x)
2 answers:
The graphs are attached.
f(x) to g(x) is translated 2 left and down 3.
f(x) to h(x) is shrunk by a factor of 2 and translated down 2.
f(x) to d(x) is stretched by a factor of 1/2 and translated up 2.
A number added to x inside parentheses shifts the graph left or right. A number added to the end of the function shifts the graph up or down. A number in front of x that is larger than 1 shrinks the graph, and a number in front of x that is smaller than 1 stretches the graph.
f(x) to g(x) is translated 2 left and down 3.
f(x) to h(x) is shrunk by a factor of 2 and translated down 2.
f(x) to d(x) is stretched by a factor of 1/2 and translated up 2.
A number added to x inside parentheses shifts the graph left or right. A number added to the end of the function shifts the graph up or down. A number in front of x that is larger than 1 shrinks the graph, and a number in front of x that is smaller than 1 stretches the graph.
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Answer:
Step-by-step explanation:
The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.
The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.
Applying trigonometric ratio,
Sin 40 = 400/x
xsin40 = 400
x = 400/sin40 = 400 / 0.6428
x = 622.3 feet
Hey there!
The answer to your question is
Given:
First, we can start by adding like terms. The following are like terms:
Now, we can add these pairs together, giving us:
Now, add all this together, and we get our answer as:
Have a terrificly amazing day!