Question

Here is a sketch of a curve.

The equation of the curve is y = x2 + ax + b
where a and b are integers.
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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 (... , ... )
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Total marks: 4

Answer 1

turning point: (-3 , -16)

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