Short Answer f(x) down 5 units, left 2 units and right side up from g(x)
Step OneFind out what -g(x+2) is.
There are two steps to this. The first is to deal with the minus sign
(g(x)) = - x^2 + 5. Be very careful what you do next.
Put brackets around both terms on the right.
g(x) = (-x^2 + 5) Now put the minus sign in front of g(x) and another one in front of the brackets.
-g(x) = - (-x^2 + 5) Remove the brackets.
-g(x) = x^2 - 5
<em>Result</em>
So far g(x) moves down 5 units and opens upward.
Step TwoThe second step is to see what the x + 2 does.
-g(x + 2) = (x + 2)^2 - 5
The final result is that the graph opens upward, moves left 2 spaces and down 5.
There is a graph enclosed to show you the key steps.
The red graph is g(x) = x^2 - 5
The blue graph is g(x+2) = (x+2)^2 - 5
the domain is all numbers except x = -4 because when -4 is plugged in for x the equation divides by 0 which is impossible
Answer:
x = 7
Explanation:
8 + 4 = 2 (x − 1)
Simplify both sides of the equation
8 + 4 = 2(x − 1)
8 + 4 = (2)(x) + (2)(−1) (Distribute)
8 + 4 = 2x + −2
(8 + 4) = 2x − 2 (Combine Like Terms)
12 = 2x − 2
12 = 2x − 2
Flip the equation
2x − 2 = 12
Add 2 to both sides
2x − 2 + 2 = 12 + 2
2x = 14
Divide both sides by 2
2x / 2 = 14 / 2
x = 7
Answer:
g(x) = 2|x|
h(x) =
|x|
Step-by-step explanation:
If you have g(x)=2f(x) and h(x)=
f(x), you can rewrite the expressions in terms of |x| as the following:
- For g(x)=2f(x) you have:
g(x) = 2|x|
-For h(x)=
f(x), you have:
h(x) =
|x|
Answer:
35.7
Step-by-step explanation:
I typed percentage calculator, find a calculator, calculate it, find 35.7♀️