The graph graphed is y=1/2x
so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4
sub back
y=1/2x
y=1/2(4)
y=2
(4,2) is the solution
9514 1404 393
Answer:
y = -(x+1)^2 +3
Step-by-step explanation:
Translating f(x) left by 1 unit replaces x with x+1.
Translating f(x) up by 3 units replaces f(x) with f(x)+3.
Reflecting f(x) over the x-axis replaces f(x) with -f(x).
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When y = x^2 is reflected over the x-axis, it becomes ...
y = -x^2
When y = -x^2 is translated 1 unit left, it becomes ...
y = -(x +1)^2
When y = -(x+1)^2 is translated 3 units up, it becomes ...
y = -(x +1)^2 +3
Answer: x = -7
Step-by-step explanation:
2(6 + 3x) + 1 = - 5 + 3(x - 1)
(2) (6) + (2) (3x) + 1 = -5 + (3) (x) + (3) (-1)
12 + 6x + 1 = - 5 + 3x + - 1
( 6x ) + ( 12 - 1 ) = ( 3x ) + ( -5 + -3 )
6x + 13 = 3x - 8
6x + 13 - 3x = 3x - 8 - 3x
3x + 13 = -8
3x + 13 - 13 = -8 - 13
3x = -21
3x/3 -21/3
X = -7