Space0Whale
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  • 10-07-2018
  • Mathematics
contestada

What is the y-intercept of the quadratic function f(x) = (x – 6)(x – 2)?
A (0,–6)
B (0,12)
C (–8,0)
D (2,0)

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Raaida
Raaida Raaida
  • 10-07-2018
Answer: (0, 12)
f(x) = (x-6)(x-2) 
(Multiply or foil)... x(x-6) -2(x-6) = x^2 - 6x - 2x + 12 = x^2 -8x + 12.
So we have, f(x) = x^2 -8x + 12(in the form, ax^2 + bx + c.... c is the y-intercept ... so, 12)
the y-intercept is where the graph intercepts the y-axis, meaning x=0.
f(0) = (0)^2 - (0)x +12 = 12 .......... (0, 12)
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