A student solved the following problem and made an error. In which line did the student make the first mistake. Line A, Line 2,
Line 5, or Line 6
1 answer:
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<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
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Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
