1. Which rule describes a translation that is 8 units to the right and 2 units up?
2 answers:
Answer:
The answer is the second rule: (x,y) --> (x+8, y+2).
Step-by-step explanation:
If you look at a graph, positive "x" is to the right, and negative "x" is to the left. Positive "y" is up, and negative "y" is down. Knowing this, if the problem is asking you how to describe moving 8 units to the right and 2 units up, then you know that it wants both a positive "x" and a positive "y".
You might be interested in
Answer:
The second function represents an even function;
Step-by-step explanation:
A function f(x) is said to be even if f(x) = f(-x). All we need to do is replace x with -x in each equation, simplify it and assess whether the equation remains unchanged. If the equation is identical to the original one then it is said to be even. Another good example of an even function is the cosine function. Moreover, even functions have y-axis symmetry
Answer:
x = -1, x = 1
Step-by-step explanation:
Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)
Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!
Set it equal to 0.
Separate the two parenthetical expressions by the Zero Product Property.
Solve for x!
Answer:
y =
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points and (3, -1)
For the point ,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
=
From equation (2)
-1 =
-1 =
a = 8
Therefore, equation of the exponential function will be,
y =