Answer: a) y = f(x - 6)
b) y = f(x) - 2
<u>Step-by-step explanation:</u>
For transformations we use the following formula: y = a f(x - h) + k
- a = vertical stretch
- h = horizontal shift (positive = right, negative = left)
- k = vertical stretch (positive = up, negative = down)
a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
Answer:
For inverse operations, it helps make solving equations easier. Say if you'd rather add than subtract, then you can do the inverse of a negative equation.
Inverse operations are also very helpful for linear equations.
To find the inverse of an equation, we change the plus sign to a negative sign. Then, we switch the first number and the answer.
Ex:
13 - 2 = 11 (now change plus to minus)
13 + 2 = 11 (not the answer yet)
Now we switch the first number with the answer!
11 + 2 = 13
Hope this helped, I tried to explain it easily.
Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
In this problem:
- The vertical change is x.
- The horizontal change is of 602 ft.
Hence, applying the concept:
tan (36º) = x/602
x = 602 x tan(36º)
x = 437.4.
More can be learned about the slope concept at brainly.com/question/18090623
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Answer:
-0.51
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
x+7=12
x=12-7
x=5
