The standard form of aquadratic function is f(r a(x-h) +k. If a is a positive nu

Question

The standard form of aquadratic function is f(r a(x-h) +k. If a is a positive numbe this means a) the parabola opens upwards. b) the parabola opens downwards c) the parabola opens to the left. d) the parabola opens to the right. 2) If x -1 is a factor of a polynomial function, f, then which of the following must be true. b) f(-1) 0 c) f(0) 1 d) f (0) -1 3) Which of the following functions is one-to-one (and then has an inverse function a) f (x) 3x 2x 18 c) h (x) 5x 2. d) k(x) 20x 4) 8 4) What is the vertex of the parabola with the equation, k(x) 20x 4) -8? a) (-2, -8) b) (-4,-8) c) (4. d) (4,8)

Explanation / Answer

(b). g(x) = |x+4| is not 1-1 as f( -9) = f(1) = 5.

(c). h(x) = 5x-2 is 1-1 as its graph is a straight line and hence h(x) cannot have the same value for 2 different values of x.

(d) k(x) = -2(x+4)2 -8 is not 1-1 as the graph of k(x) is a parabola opening downwards and its axis of symmetry is parallel to the Y-Axis. k(x) has the same value for 2 different values of x.

        4. The parabola k(x) = -2(x+4)2 -8 has its vertex at (-4,-8). Option (b) is the correct answer.

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