y = (x-6)²-3
1) Let's write a transformation described as it is, algebraically speaking.
• opening upward, (a >0)
,
• shifted 6 units right, (-6)
,
• and three units down -3
2) Starting from the parent function y=x², then we can write:
y = (x-6)²-3
Notice that the horizontal shift is within the parentheses with a swapped sign. And outside that -3 indicating the vertical shift.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
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Answer:
4x - 7y = 19
4(-4) - 7(-5) = 19
-16 - (-35) = 19
-16 + 35 = 19
19 = 19
(-4,-5) is a solution to given equation.
4(9) - 7(6) = 19
36 - 42 = 19
-6 ≠ 19
(9,6) is not a solution to given equation.
4(1) - 7(-3) = 19
4 - (-21) = 19
4 + 21 = 19
25 ≠ 19
(1, -3) is not a solution to given equation.
4(-6) - 7(2) = 19
-24 - 14 = 19
-38 ≠ 19
(-6,2) is not a solution to given equation.
_______________________________
<u>Note</u>:- <em>A solution to an equation is any value which when substituted to a variable would make the equation true.</em>
Answer:
positive 1
Step-by-step explanation:
hope it helps.
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