Functions Flashcards

1
Q

Linear

A

y = mx + c

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2
Q

Parabola (intercept form)

A

y = k(x-a)(x-b)

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3
Q

Parabola (vertex form)

A

y = k(x-a)^2 + b

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4
Q

Cubic (three intercepts)

A

y = k(x-a)(x-b)(x-c)

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5
Q

Cubic (two intercepts)

A

y = k(x-a)^2 (x-b)

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6
Q

Square root

A

y = a /x-h + k

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7
Q

What is a, h and k in the square root function y = a /x-h + k?

A

a is unknown, (h,k) is the starting point

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8
Q

Hyperbola

A

y = a/(x-c) + b

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9
Q

What is a, c and b in the hyperbola equation y = a/(x-c) + b

A

a is unknown, c is vertical asymptote(x), d is horizontal asymptote(y), YOU CAN ONLY ASSUME ONE OF THESE

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10
Q

Exponential

A

y = b x a^x + c

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11
Q

What is a, b and c in the exponential equation y = b x a^x +c

A

a and b are unknowns, c is horizontal asymptote(y)

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12
Q

Circle

A

(x-a)^2 + (y-b)^2 = r^2

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13
Q

What is a, b and r in the circle equation (x-a)^2 + (y-b)^2 = r^2

A

(a,b) is the centre of the circle and r is the radius (possibly unknowns)

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14
Q

Log

A

y = loga(x-c) + b

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15
Q

What is a, c and b in the log equation y = loga(x-c)+b

A

c is the vertical asymptote(x), and a and b are unknowns

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16
Q

Sin/cos

A

y = A sin/cos x (B(x-C)) +D

17
Q

What is A, B, C and D in the sin function y = A sin/cos x (B(x-C)) +D

A

A is amplitude, B is 2pi/period, (period is quarter of graph times 4), C is horizontal movement from 0 and D is vertical movement from 0

18
Q

What is A, B, C and D in the cos function y = A sin/cos x (B(x-C)) +D

A

A is amplitude, B is 2pi/period, (period is quarter of graph times 4), C is horizontal movement from crest and D is vertical movement from 0