Determine the quadratic function whose graph is described below.
_____1. The graph of f(x) = 2x² shifted 5 units to the left and 6 units downward.
_____2. The graph of f(x) = -3x² shifted 2 units to the right.
_____3. The graph of f(x) = 6x² shifted 4 units above the origin.
_____4. The graph of f(x) = -4x² shifted 7 units to the right and 2 units above the origin.
_____5. The graph of f(x) = 5x² shifted 8 units to the left.
_____1. The graph of f(x) = 2x² shifted 5 units to the left and 6 units downward.
_____2. The graph of f(x) = -3x² shifted 2 units to the right.
_____3. The graph of f(x) = 6x² shifted 4 units above the origin.
_____4. The graph of f(x) = -4x² shifted 7 units to the right and 2 units above the origin.
_____5. The graph of f(x) = 5x² shifted 8 units to the left.
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1. (y - 6) = 2(x - 5)²
y = 2x² - 20x + 50 + 6
f(x) = 2x² - 20x + 56
2. y = -3(x + 2)²
y = -3x² + 12x -12
f(x) = -3x² + 12x -12
3. (y + 4) = 6x²
y = 6x² - 4
f(x) = 6x² - 4
4. (y + 2) = -4(x + 7)²
y = -4x² - 56x - 196 - 2
f(x) = -4x² - 56x - 198
5. y = 5(x - 8)²
y = 5x² - 80x + 320
f(x) = 5x² - 80x + 320