Vertical translation <span>moves the graph up or down.
3 represents the graph is shifted 3 units up.</span>
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Answer:
Third option. x = 2, and x = 4.
Step-by-step explanation:
Find the zeros of this quadratic equation by factoring:
f(x) = x² - 6x + 8
Becomes:
f(x) = (x - 4)(x - 2)
Set each factor equal to 0 to solve for the roots;
x - 4 = 0
x = 4
x - 2 = 0
x = 2
Therefore, the zeros of this equation are at x = 2, and x = 4.
Answer:
B
Step-by-step explanation:
The "..." at the end of B tell us that it's a repeating decimal so B is irrational. Of course, you can't use this reasoning for every repeating decimal but in this case it works.
Answer:
6) x=5
7)x=6
8)x=10
9)x=12
Step-by-step explanation:
6) 3x-5=10. 7) 36=4x+12. 8) 3(x+2)=36
+5 +5. - 12. - 12. 3x + 6=36
3x = 15. 24 = 4x. - 6. -6
÷3. ÷3. ÷4. ÷4. 3x=30
x=5. 6 = x. x = 10
9) 7(2x-15)=63
14x - 105=63
+105. +105
14x = 168
÷14. ÷14
x=12