You didn’t provide any answer choices but you can use my notes to guide you. Hope this helps! :)
Answer:
Q(x) =
is the final equation.
Step-by-step explanation:
<u>By translation of the graph 3 units upward direction, it means that the y-value of the function is increased by 3 unit at each value of x.</u>
Given , P(x) = ![(x+3)^{2}+2](https://tex.z-dn.net/?f=%28x%2B3%29%5E%7B2%7D%2B2)
We can actually translate the graph in any direction, and for that we have to make the necessary changes. If we translate the graph in the positive x direction, then we have to substitute (x - 3) instead of x in the equation.
Since we are translating the graph upwards ,
Q(x) =
+ 3
Q(x) = ![(x+3)^{2}+5](https://tex.z-dn.net/?f=%28x%2B3%29%5E%7B2%7D%2B5)
This is the final equation of the graph after translation.
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 2(x - 4)
g(x) = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 20 = 2(x - 4)
- Divide 2 on both sides: 10 = x - 4
- Add 4 to both sides: 14 = x
- Rewrite: x = 14
Cos(angle) = adjacent/hypotenuse
Cos(angle) = 1.5/10
Angle = arccos(1.5/10)
Angle = 81.37 degrees
Although the angle is close, it is over the 80 degrees, so the inspector should be concerned.
Answer:
20%
Step-by-step explanation:
You could do it without reduction
(3/15) * 100 = 3*100/15 = 300/15 = 20 = 20%
Or you could do it by reduction
3/15 = (3÷3) / (15 ÷3) * 100 = (1/5)*100 = 20%