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WorksheetsQuadratic Functions (Khalif & Hakimi)
Total questions: 10
Worksheet time: 5mins
Determine the quadratic equation which has two equal roots.
f(x) = x2 + 4x + 1
f(x) = -x2 + 10x - 25
f(x) = -3x2 + 7x + 5
f(x) = x2 + 4x - 21
Which graph is formed from the quadratic equation below :
f(x) = x2 + 4x - 21
A graph of a quadratic function is called ____
a parabola
a line
a hyperbola
a squared
4x2 - 8x = 3
Determine the value of a, b and c
a = 4, b = -8, c = -3
a = 4, b = -8, c = 3
a = -4, b = -8, c = 3
a = 4, b = 8, c = 3
Determine the quadratic equation in vertex form when the graph formed has no real roots and has a vertex of (-3,-5) when a = -2
f(x) = -2(x+3)2 - 5
f(x) = 2(x-3)2 - 5
f(x) = -2(x-3)2 - 5
f(x) = -2(x-3)2 + 5
Find the value of h if the x-axis is a tangent to the graph of the following quadratic equation :
f(x) = x2 - (h-3)x + 3h + 1
h = 1, h = -5
h = -1, h = 5
h = -1, h = -5
h = 1, h = 5
Find the values of a, h and k
a = 1, h = -2, k = -16
a = -1, h = 2, k= 16
a = -1, h = -2, k = 16
a = 1, h = 2, k = 16
Find the vertex of f(x) = -2x2 - 8x + 24
(8, 24)
(-2, 24)
(-2, 32)
(-2, -8)
Find the roots of the equation f(x) = -x2 + 2x - 1
x = 1
x = 2
x = -1
x = -2
x = 1/2
Ali wants to build a drainage system around his house. If the shape of the drain is represented by the equation f(x) = 1/5x2 - 24x + 700, find the width of the drain.
20 cm
30 cm
50 cm
70 cm
