9514 1404 393
Answer:
False
Step-by-step explanation:
Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.
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<em>Additional comment</em>
The point (0, 5) would be translated to (3, 4). That is not what the question is asking.
Answer:
y = -3/4(x - 6)^2 + 3
Step-by-step explanation:
y = ax^2 + bx + c
(4, 0)
16a + 4b + c = 0 Eq. 1
(8, 0)
64a + 8b + c = 0 Eq. 2
(6, 3)
36a + 6b + c = 3 Eq. 3
We have a system of three equations in three variables.
Eq. 2 - Eq. 1
48a + 4b = 0 Eq. 4
Eq. 2 - Eq. 3
28a + 2b = -3 Eq. 5
Eq. 4 - 2 * Eq. 5
-8a = 6
a = -6/8
a = -3/4
48a + 4b = 0
48(-3/4) + 4b = 0
4b = 36
b = 9
16a + 4b + c = 0
16(-3/4) + 4(9) + c = 0
-12 + 36 + c = 0
c = -24
The equation of the parabola is
y = -3/4 x^2 + 9x - 24
y = -3/4(x^2 - 12x + 32)
y = -3/4(x^2 - 12x + 36) + (-3/4)32 - (-3/4)(36)
y = -3/4(x^2 - 12x + 36) -24 + 27
y = -3/4(x - 6)^2 + 3
1) 13.02-6y=8y
+6y=6y
13.02=14y then divide both sides by 14. you get y= .93
2) 1/5x+5=19-1/2x
-5=-5
(1/5x=14-1/2x)5
x=70-2.5x
+2.5x=+2.5x
3.5x=70 divide both sides by 3.5 and you get x=20
3) 7.3t+22=2.1t-22.2
-2.1t =-2.1t
5.2t+22=22.2
-22=-22
5.2t=-44.2 divide both by 5.2 and t=-8.5
4) (1.4+2/5e=3/15e-.8)15
21+6e=3e-12
-3e=-3e
21+3e=-12
-21 =-21
3e=-33 divide both by 3 and e=-11
5) 5(x-4)=2(2x+5)
5x-20=4x+10
-4x -4x
x-20=10
+20=+20
x=30
6) -7(3+t)=4(2t+6)
-21-7t=8t+24
+7t=+7t
-21=15t+24
-24= -24
-45=15t divide both by 15 and t=-3
7) (3/4x+6=1/3x+9)4
3x+24=1.3x+36
-1.3x =-1.3x
1.7x+24=36
-24=-24
1.7x =12 divide both sides by 1.7 and x=7.06