Step-by-step explanation:
To transform a function vertically, add 3 to the constant.

So the function is

Graph the function in desmos to show the translation vertically if you want proof
The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
<h3>What are Scientific notations?</h3>
The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5×10¹².
As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,

Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
Learn more about Scientific notation:
brainly.com/question/1740231
Perpendicular slope: opposite and reciprocal
-4 opposite and reciprocal = 1/4
Y = 1/4x + b
Plug in point
-3 = 1/4(8) + b
-3 = 2 + b, b = -5
Solution: y = 1/4x - 5
The integers are -8 and -6.
To find these, first assume that the first integer is x. Then, because it is an even integer, assume the next is x + 2. Now we can write an equation to solve.
Tripling the greater = subtracting 10 from the lesser
3(x + 2) = x - 10 ----> Distribute the 3
3x + 6 = x - 10 ----> Subtract x from both sides
2x + 6 = -10 ----> Subtract 6 from both sides
2x = -16 ----> Divide both sides by 2
x = -8
Which is the first integer. We then can determine that the second one, which is two higher than the first, would be -6.
Total age of pupils
= 12.7 x 10
= 127 years
127 - 11 - 10 - 12 - 11 - 14 - 13 - 14 - 16 = 26 ( total age of the other 2 pupils added together )
however, since the ninth pupil is two years younger,
26-2=24
24/2=12 ( age of ninth pupil )
12+2=14 ( age of tenth pupil )
thus, (a) 12 years old,
(b) 14 years old.