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Nikitich [7]
3 years ago
13

(5 pts) A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0. Select all

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answers:

  • a) True. Plug in x = 0 and it leads to y = c. Therefore, the point (0,c) is on the parabola.
  • b) False. Plug in y = 0 and apply the quadratic formula. One x intercept may sometimes be x = c, but it could easily be other values as well. Or perhaps you may not get any real number solutions at all. See part d) below.
  • c) True. If a < 0, then the leading coefficient is negative. Overall, both endpoints will tend toward negative infinity to produce a parabola that opens downward.
  • d) False. The quadratic may have one x intercept or it may not have any x intercepts at all. It depends on what the discriminant d = b^2 - 4ac is equal to. If d < 0, then we have no x intercepts. If d = 0, then we have exactly 1 x intercept. If d > 0, then we have two different x intercepts.
  • e) True. The vertex's x coordinate is -b/(2a). If b = 0, then the x coordinate of the vertex is 0. The vertical line x = 0 is directly on top of the y axis.
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