Answer:
x is domain and 3 is range
Step-by-step explanation:
Answer:
4 units to the right
Step-by-step explanation:
A(-1,4) is translated into A'(3,4)
so this point was shifted four to the right because only the x- value was changed
Hi there!
The question here is asking us to multiply two functions together - j(x) and k(x). First, we need to determine the expressions for j(x) and k(x). Since this is given, we can move straight onto multiplying the two functions together, which will give us our answer.
j(x) × k(x)
Substitute expressions -
(x⁴ - 81)(x + 3)
Simplify -
(x⁴ - 81)(x + 3)
x⁵ + 3x⁴ - 81x - 243
Therefore, the answer is x⁵ + 3x⁴ - 81x - 243. Hope this helped!
Answer:
right 3 units and down 1 unit
Step-by-step explanation:
we know that
![f(x)=x^{2}](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B2%7D)
Is the equation of a vertical parabola open upward with vertex at (0,0)
and
![f(x)=(x-3)^{2}-1](https://tex.z-dn.net/?f=f%28x%29%3D%28x-3%29%5E%7B2%7D-1)
Is the equation of a vertical parabola open upward with vertex at (3,-1)
so
The rule of the translation of
(0,0) -----> (3,-1)
is equal to
(x,y) -----> (x+3,y-1)
That means ----> the translation is right 3 units and down 1 unit