Answer:
Step-by-step explanation:
Parent function:
The properties of the parent function are:
- Starts at the origin, so y-intercept is at (0, 0)
- Domain: x ≥ 0
- Range: y ≥ 0
- As x increases, y increases
From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a <u>reflection in the x-axis</u>.
The y-intercept is now at (0, 2), therefore the function has been <u>translated 2 units up</u>.
<u>Translations</u>
For a > 0
Therefore:
Reflected in the x-axis:
Then translated 2 units up:
So the equation that represents the transformed function is:
<span> <span> b< 4 or 4b>-8
b>-2
Final answer:
b<4 or b>-2 </span></span>
The picture of the problem has been attached below :
Answer:
13.5
Step-by-step explanation:
Applying the sine rule to solve for x
SinA /a = SinB / b = SinC/ c
Sin 34 / x = Sin 27/11
Cross multiply :
11 * sin34 = x * sin 27
6.1511219 = 0.4539904x
Divide both sides by 0.4539904
6.1511219/0.4539904 = x
13.549 = x
x = 13.5