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It would be the third one !!!!!!!!!
Answer:
You can identify the parent function by making the equation into its simplest form.
Step-by-step explanation:
Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).
ex. y= -3x^2+15
The parent function would be y=x^2 after removing everything.
Hope this helps! :)
Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Answer: (0, 2)
3x = y - 2
6x = 4 - 2y
3x = y - 2
- y - y
-y + 3x = - 2
- 3x - 3x
-y = - 3x - 2
/-1 /-1
y = 3x + 2
6x = 4 - 2y
+ 2y + 2y
2y + 6x = 4
- 6x - 6x
2y = - 6x + 4
/2 /2
y = -3x + 2
y = 3x + 2
y = -3x + 2
3x + 2 = -3x + 2
- 2 - 2
3x = -3x
/3 /3
x = 0
y = 3x + 2
y = 3(0) + 2
y = 2
(x, y) --> (0, 2)
Therefore, the two equations intersect at (0, 2)
Hope this helps!