Answer:
Parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Step-by-step explanation:
<u>Vertical translation of f(x) is of the form</u>
It means if the constant 'k' is added in the output, the parent graph vertically shifted 'k' units up.
Given
Replacing the parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
Please also check the attached diagram.
-
The red graph shows the parent function i.e.
- The blue graph shows the transformed function i.e. f(x)+5
The blue graph is the result of the vertically shifting of the parent function by 5 units up.
Hence, parent function f(x) = x with f(x)+5 means the parent function will vertically shift 5 units up.
?/8 = 3/?
Multiplying both sides by 8, then “?” gives
8? * ?/8 = 8? * 3/?
?*? = 24
The number, then, is sqrt(24), or 2 sqrt(6), which is approximately 4.90.
Answer:
x² - 2x + 1
Step-by-step explanation:
We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.
(x - 1)² = (x - 1)(x - 1)
We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:
x * x = x²
The outer terms are x and -1. Multiply:
x * (-1) = -x
The inner terms are -1 and x; multiply:
(-1) * x = -x
The last terms are -1 and -1; multiply:
(-1) * (-1) = 1
Add all these together:
x² + (-x) + (-x) + 1 = x² - 2x + 1
<em>~ an aesthetics lover</em>
A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x^-2" just means "x2, but underneath, as in 1/x^2.
-4^-2 means the power -2 is only applied to 4 and not the negative sign. -4^-2 = -(4^-2), which is equal to -1/16.
Whereas, (-4)^-2 means the power -2 affects on both negative sign and 4. For example, (-4)^2 is equal to (-4 * -4) which is just 16. Moving on, with (-4)^-2 equals to 1/(-4*-4) = 1/16.
//Hope this helps.
Answer:
True.
Step-by-step explanation:
