Using translation concepts, the graph of g(x) is given at the end of the question.
<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.
The parent function is given by:
.
With the changes, we have that:
- f(-x) is the function reflected over the y-axis.
- f(-x) - 2 is the function reflected over the y-axis and shifted 2 units down.
Hence the function will be given by:
.
The graph is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
x=12
Step-by-step explanation:
Answer:
Average Mean = 1.8
Step-by-step explanation:
Missing:
X:0 1 2 3 4 5 6
P(x): 0.20 0.30 0.20 0.15 0.10 0.05
Computation:
Average Mean [Probability distribution]
∑[P(x) × X]
= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05
= 1.8
Average Mean = 1.8
X=t-yz and we are asked to solve for y so, subtract t from both sides
x-t=-yz divide both sides by -z
(x-t)/(-z)=y
y=(x-t)/(-z) multiply the numerator and denominator by -1
y=(t-x)/z
Answer:
y=x\\
x=y^{2} + 12y\\
y^{2} + 12y -x = 0\\
Delta = (12^{2}) - 4.1.(-x) = 144 +4X = 36.(4+x)
\sqrt{Delta} = 6 . \sqrt{(4+x)} \\
y' = \frac{-12 + 6.(\sqrt{(4+x)}}{2} = -6 + 3.\sqrt{(4+x)}\\
y" = -6 - 3.\sqrt{(4+x)}\\\\
y' = 3.\sqrt{(4+x)} - 6\\
y''= -3.\sqrt{(4+x)} - 6\\
