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Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4

Sagot :

Answer:

turning point: (-3 , -16)

Step-by-step explanation:

y = x² + ax + b    pass(0,-7)(7,0)

(0)² + 0*a + b = -7     b= -7

(7)² + 7*a - 7 = 0       7a = 42    a = 6

 y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16

(h,k): vertex          equation: y = a(x-h)² + k

h = -3     k=-16

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