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Q.1 State whether the graph of the following equations open upwards or downwards.
1) f(x) = 2 x
2 + 4x + 6
2) f(x) = x
2 + 5x + 6
3) f(x) = ½ x
2 + 4x + 3
4) f(x) = 6 x
2 + x – 3
5) f(x) = - 2 x
2 - 5x + 3
6) f(x) = x
2 + 4x
7) f(x) = - 2 x
2 - 8
8) f(x) = 4 x
2
9) f(x) = - 8 x
2
10) f(x) = 3 x
2 + 4
Q.2 Write the coordinates of vertex.
1) f(x) = x
2 + 4x + 4
2) f(x) = x
2 - 5x + 6
3) f(x) = x
2 + 6x + 8
4) f(x) = - x
2 + 4
5) f(x) = - 2 x
2 - 8x
6) f(x) = x
2 - 6x + 10
7) f(x) = 2 x
2 - 4x + 7
8) f(x) = 3 x
2 - 24x + 50
9) f(x) = x
2 - 16x + 70
10) f(x) = - x
2 - 18x – 79
Q.3 Write in vertex form.
1) f(x) = x
2 + 16 x + 71
2) f(x) = x
2 - 2x – 5
3) f(x) = - x
2 - 14x – 59
4) f(x) = 2 x
2 + 36x + 170
5) f(x) = x
2 + 4x
Q.4 Identify the axis of symmetry.
1) f(x) = 2 (x + 4)
2 - 5
2) f(x) = - (x – 6)
2 + 2
3) f(x) = - (x – 5)
2 - 1
4) f(x) = - 2 ( x + 1)
2 + 18
5) f(x) = ( x – 6)
2 + 10