Answer:
See below for answers
Step-by-step explanation:
1) Parent functions are essentially non-transformed functions, so y=x^2 would be the parent function of y=x^2+1 for example since y=x^2 has no transformations while y=x^2+1 does.
2) Since certain x-values won't be defined for the function, you need to restrict the domain. For example, in the function f(x)=1/x, obviously x=0 is undefined for the function, so we would need to restrict the domain.
3) Not sure what you mean by name graph; no context given
4) Also no context given
5) The equation would be y=(x+5)^4-3
25.9766
when you multiply you do not have to line up your decimal
Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
Answer:
Step-by-step explanation:
(a). 5.33 m
(b). 41.65 m²
Answer: 1.41 seconds
Step-by-step explanation:
The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:

The velocity term completely cancels because the object was dropped with an initial velocity of 0.

