Answer:
(-7, -7)
Step-by-step explanation:
1. Let's ONLY focus on point C.
2. The algebraic rule for reflecting across the y-axis is (x, y) -> (-x, y).
- Since point C is on the coordinate (7,1), when reflecting it across the y-axis, it's going to turn into (-7,1).
3. The algebraic rule for translating 8 units down is (x, y) -> (x, y - 8).
- Since C is on (-7,1), when we translate it 8 units down, we'll get C' as (-7, -7)
Therefore, the coordinates for C' are (-7, -7).
x coordinate of D = distance of 9 - 1 = 8 from point M
y coordinate of D = 4-2 = 2 from point M
so coordinates of D are (--1+8 , -2 + 2) = (7 , 0) answer
Answer:
K' = (8,-4) L' = (4,-7) M' = (1,-2)
Step-by-step explanation:
Simply take the x coordinates and the y coordinates and flip them.
For example, if you have A (2, 4) reflected across y=x, A' would be (4,2).
Answer:
1. (7,-9)
2. (4,0) and (10,0)
3. (3,0) and (-3,0)
4. (0,-9)
5. (-1,-32)
Step-by-step explanation:
To find the vertex use the formula

First make the equation into a quadratic equation.

Now it is in the form

Now we can substitute the values

Now we have 7 as our x value for the vertex we can substitute for y,

So the vertex for 1 is (7,-9)
To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

4 is slightly different but start the same,

Here, c (9) just shows the graph move down 9, so the y intercept = 9.
5 is the same process as 1,

Vertex,

Substitute,

So the vertex is (-1,-32)
Answer: 12 months (1 year)
We know that Alision gains $29.26 each month. She wants to buy a stereo for $339.12
You want to divide $339.12 with $29.26 to find the total months.
339.12 / 29.26 = 11.6
CHECK:
You want to round up, since she needs the money to buy a stereo. She's allowed to have more money.
29.26 * 12 = 351.12
It will take Alision 12 months (1 year) to buy her stereo.