Answer:
2) Yes, each x-coordinate is only used once.
3) {1,2,3,4}
4) {25,45,60,70}
5) (3,60)
6) No because (4,7) and (4,25) share the same x-coordinate.
Step-by-step explanation:
A relation is a function if there is no more than one y-value assigned to an x.
Any x used can only be used once in an order pair.
You that here.
(1,25)
(2,45)
(3,60)
(4,70)
So basically because all of the x-coordinates are different, this is a function.
The domain is the x-coordinate of each pair (the first of each pair):
{1,2,3,4}.
The range is the y-coordinate of each pair (the second number of each pair):
{25,45,60,70}.
One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.
{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.
Answer: The image is attached.
Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case we know that the scale factor is:
Since:
It is an Enlargement.
You can identify that the vertices of the pre-image shown in the figure, are:
So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;
Now you can draw it (The image is attached).
Answer:
Step-by-step explanation:
hello :
f(x) = a(x - h)²-k ....vertex form when the vertex is : (h,k)
h=1 and k=0 so : f(x) = a(x-1)²
a parabola that passes through the point (2,8) : f(2)=8
a(2-1)² =8
a= 8
f(x) = 8(x-1)²= 8(x²-2x+1)
f(x) 8x²-16x+8 .....standard form
-2y + 6 < 10
Subtract 6 on both sides
-2y < 10
Divide by -2 on both sides
y > -5
Hope this helps! Just in case you don’t understand the final answer, when dividing or multiplying by a negative number you flip the sign!
Answer:
It's simple
Step-by-step explanation:
See what I did there? Simple?
