07 sketching graphs

# 07 sketching graphs - flatter at base steeper at the...

This preview shows pages 1–6. Sign up to view the full content.

Sketching Graphs * Numbers on axes must be evenly spaced * y intercept occurs when x = 0 * x intercept occurs when y = 0 Once the intercepts have been found, curves are easy to sketch, if you know the basic shape. If in doubt use a table of values and plot some points

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Basic Curves b mx y + = x y = c bx ax y + + = 2 1 ` power 0 solve 2 = + + c bx ax (1) Straight Lines y x 1 ` power (2) Parabola y x 2 x y = 1 ` power 2 ` power x intercepts: vertex: halfway between x intercepts
e.g. find the x intercepts and vertex of 3 4 2 + - = x x y ( 29 1 2 2 - - = x y ( 29 1 , 2 vertex - ( 29 1 2 2 = - x x intercepts: 1 2 1 2 ± = ± = - x x x = 1 or x = 3 y x 1 ( 29 1 , 2 - 3 (3) Cubic y x 3 x y = d cx bx ax y + + + = 2 3 1 ` power 3 ` power ( 29 cubic. basic the like look it will then to factorised be can it If 3 k x a y + = Otherwise; y x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(4) Higher Powers y x etc even 6 4 x y x y = = y x etc odd 7 5 x y x y = = As power gets bigger, curve gets;

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: - flatter at base- steeper at the sides (5) Hyperbola y x 1 1 = = xy OR x y x y 1 = one power on top of a fraction, one power on bottom of fraction (6) Circle y x 2 2 2 r y x = + y x ( 29 1 = a a y x (7) Exponential 2 2 2 r y x = + r r-r-r both power ‘2’ coefficients are the same x a y = pronumeral in the power 1 (8) Roots y x 2 2 x r y-= y x x y = r r-r to tell what the curve looks like, square both sides circle 2 2 2 2 2 2 2 2 ∴ = +-=-= r y x x r y x r y parabola 2 ∴ = = x y x y half top means + half bottom means-Exercise 2G; 1adeh, 2adgk, 3bdf, 5aeh, 7acegi, 8ad, 9a, 11c, 13acd, 15bd, 17*...
View Full Document

{[ snackBarMessage ]}

### Page1 / 6

07 sketching graphs - flatter at base steeper at the...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online