y = x² - 4x - 5 standard form
y = (x - 5)(x + 1) intercept form
y + 5 = x² - 4x
+4 +4
y + 9 = x² - 4x + 4
y + 9 = (x - 2)²
y = (x - 2)² - 9 vertex form
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y - 4 = -(x - 4)²
+4 +4
y = -(x - 4)² + 4 vertex form
y = -(x² - 8x + 16) + 4
y = -x² + 8x - 16 + 4
y = -x² + 8x - 12 standard form
y = (-x - 6)(x + 2) intercept form