Question

[MAI 2.1] QUADRATICS 2. [Maximum mark: 12] Consider the quadratic \( y=4 x^{2}-120 x+800 \) (a) (i) Find the roots. (ii) Hence express the quadratic in the form \( y=a\left(x-x_{1}\right)\left(x-x_{2}\right) \) (b) (i) Find the coordinates of the vertex. (ii) Hence express the quadratic in the form \( y=a(x-h)^{2}+k \) (iii) Write down the equation of the axis of symmetry (iv) Write down the minimum value of \( y \) [5] (c) Write down the \( y \)-intercept of the quadratic \( [1] \) (d) Draw the graph of the quadratic on the diagram below. [3] \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \)

          [MAI 2.1] QUADRATICS
2. [Maximum mark: 12]

Consider the quadratic \( y=4 x^{2}-120 x+800 \)
(a) (i) Find the roots.
(ii) Hence express the quadratic in the form \( y=a\left(x-x_{1}\right)\left(x-x_{2}\right) \)
(b) (i) Find the coordinates of the vertex.
(ii) Hence express the quadratic in the form \( y=a(x-h)^{2}+k \)
(iii) Write down the equation of the axis of symmetry
(iv) Write down the minimum value of \( y \)
[5]
(c) Write down the \( y \)-intercept of the quadratic
\( [1] \)
(d) Draw the graph of the quadratic on the diagram below.
[3]
\( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \)

[MAI 2.1] QUADRATICS
2. [Maximum mark: 12]

Consider the quadratic y=4 x^2-120 x+800
(a) (i) Find the roots.
(ii) Hence express the quadratic in the form y=a(x-x1)(x-x2)
(b) (i) Find the coordinates of the vertex.
(ii) Hence express the quadratic in the form y=a(x-h)^2+k
(iii) Write down the equation of the axis of symmetry
(iv) Write down the minimum value of y
[5]
(c) Write down the y-intercept of the quadratic
[1]
(d) Draw the graph of the quadratic on the diagram below.
[3]

Added by Isaac B.

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