Answer:
g(x) = -2|x+1| -3
Step-by-step explanation:
f(x) = |x|
y = f(x) + C C < 0 moves it down
y = |x| -3 for shifting down 3
y = f(x + C) C > 0 moves it left
y = |x+1| -3 for move it left 1
y = Cf(x) C > 1 stretches it in the y-direction
y = 2|x+1| -3 to stretch it 2 vertically
y = −f(x) Reflects it about x-axis
y = -2|x+1| -3
Answer:
Area:
4 x 4 = 16
Finding area of semi circle:
4 is your diameter so half of it is your radius which is 2 since half of 4 is 2!
2^2<---your radius being squared = 4
4(radius squared) x 3.14(pi) = 12.56
12.56 divided by 2 since its a semi circle is = 6.28
6.28 + 16 = 22.28 is your area
Perimeter is:
4 + 4 + 4 (all sides of a square are equal therefore one or two given lengths will be all the sides) = 12
Circumference:
Radius is 2,
2(you just always have to multiply this number when finding circumference) x 3.14(pi) x 2(radius), 2 x 3.14 x 2 = 12.56
12.56 divided by 2 = 6.28
6.28 + 12 = 18.28 is your perimeter.
Just a refresh:
Circumference Formula:
2(always use this number when finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius
Area of a Circle Formula:
Radius squared x pi(3.14 or 22/7 whatever they tell you to use for pi)
Another thing you should remember:
Whenever it gives you 1/4 of a circle or 1/3 or a semi circle or any fraction, REMEMBER TO DIVIDE BY THAT DENOMINATOR TO WHAT YOU GET FROM EITHER CIRCUMFERENCE OR AREA OF A CIRCLE!
Answer:
y=32x shows a proportional relationship.
Step-by-step explanation:
We need to find an equation that shows the proportional relationship.
If x and y are proportional to each other, it will look like,
y = mx
Where
m is constant of proportionality
Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.
The equivalent expression to 11^-7 × 11^5 is one over eleven raised to the second power. option A
Exponential
11^-7 × 11^5
= 11^(-7+5)
= 11^(-2)
= 1 / 11²
Options:
one over eleven raised to the second power
(1/11)²
one over eleven raised to the power of negative two
(1/11)^-2
11^2
−11^2
Therefore, the equivalent expression to 11^-7 × 11^5 is one over eleven raised to the second power.
Learn more about exponential:
brainly.com/question/27161222
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