131 Quadratics: Rules & Graphs GraphOrg

© Cesar A Vasquez

a: Leading Coefficient b: Linear Coefficient c: Constant

y = ax2 + bx + c (a ≠ 0)

CHANGES IN THE SIGN OF THE LEADING COEFFICIENT (a)

GRAPH 1:

y = −1x2

GRAPH 2:

y = 1x2

CHANGES IN THE ABSOLUTE VALUE OF THE LEADING COEFFICIENT (a)

GRAPH 3: y = 0.2x2

GRAPH 4:

y = 1x2

GRAPH 5:

y = 5x2

CHANGES IN y-INTERCEPT (c)

GRAPH 6:

y = 1x2 − 2

GRAPH 7:

y = 1x2

GRAPH 8:

y = 1x2 + 2

POSITIVE LEADING COEFFICIENT (a) AND CHANGES IN THE SIGN OF THE LINEAR COEFFICIENT (b)

GRAPH 9: y = 1x2 − 4x

GRAPH 10:

y = 1x2

GRAPH 11: y = 1x2 + 4x

NEGATIVE LEADING COEFFICIENT (a) AND CHANGES IN THE SIGN OF THE LINEAR COEFFICIENT (b)

GRAPH 12: y = −1x2 − 4x

GRAPH 13:

y = −1x2

GRAPH 14: y = −1x2 + 4x