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What is the vertex of f(x) = | 8x + 8| - 3?
1 answer:
Answer:
<h2>(-1, -3)</h2>Step-by-step explanation:
Vertex of y = |x| have the coordinates (0, 0).
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
nf(x) - stretches/shrinks vertically
f(nx) - stretches/shrinks horizontally
We have
f(x) = |8x + 8| - 3 = |8(x + 1)| - 3 = |8| · |x+1| - 3 = 8|x + 1| - 3
g(x) = |x| → f(x) = 8g(x + 1) - 3
vertically streched by 8 (0, 8 · 0) → (0, 0)
shifted 1 unit to the left (0 - 1, 0) → (-1, 0)
shifted 3 units down (-1, 0 - 3) → (-1, -3)
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Answer:
17662.5 sq. feet
Step-by-step explanation:
We know that the formula for Area of a Circle is .
r = radius; d = diameter, which is r*2
And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.
150/2 = 75
The question said to keep =3.14, so then we plug in the equation-
Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-
(first doing the Exponent)
And we continue-
(then multiple)
So our answer is-
17662.5 sq. feet
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